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The phrase "a slightly higher proportion" is correct and usable in written English.
It can be used when comparing quantities or percentages in a context where one is marginally greater than another.
Example: "In the recent survey, a slightly higher proportion of respondents preferred option A over option B."
Alternatives: "a marginally greater share" or "a somewhat increased percentage".
Exact(60)
Among fourth graders on Long Island, a slightly higher proportion of students achieved the math standard than last year.
One in four is male – a slightly higher proportion than among social workers as a whole, 82% of whom are women.
I suspect there will be a slightly higher proportion of guests down the line, that will be challenging and something we have to work at.
If we turn further back to the decade following the mid-1970s we see a slightly higher proportion stuck on low pay and fewer exiting it.
There was always a slightly higher proportion of subpatent infections in the last survey (6 27% increase in subpatent infections), despite fluctuation in sensitivity during the studies.
Ethnicity data showed that ISC schools in England had a slightly higher proportion of pupils from non-white British ethnic groups, compared to state schools in England.
The flavor of toasted hazelnuts is somewhat more pronounced than that of Nutella, and it has a slightly higher proportion of nuts.
Labour then does better than their main rivals among C1, a slightly higher proportion of C2s say they will vote Conservative, and the parties are evenly matched on DE votes.
Aircraft currently contribute to a little over 1percentt of all the world's carbon emissions and climbing, and Rutherford said shipping accounts for a slightly higher proportion — about 3percentt.
Ford and Chrysler buy a slightly higher proportion of their parts from outside suppliers that pay lower wages and also require fewer workers because they have invested in more modern equipment.
In San Antonio, for instance, blacks and whites only account for one-third of the local population, and a slightly higher proportion of the police; Hispanics make up 63percentt of the population, and 58percentt of the police.
More suggestions(15)
a slightly bigger proportion
a slightly higher amount
a slightly higher representation
a slightly higher rate
a slightly higher prevalence
a slightly higher ratio
a rather higher proportion
a modestly higher proportion
a slightly larger proportion
a moderately higher proportion
a slightly higher number
a slightly higher participation
a slightly higher fraction
a slightly higher extent
a slightly greater proportion
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com