Crossword Genius

Rather more coarse provisions supplier, we hear (7)

Ross

I believe the answer is:

grosser

I'm a little stuck... Click here to teach me more about this clue!

'provisions supplier we hear' is the definition.
I can't tell whether this definition defines the answer.

'rather more coarse' is the wordplay.
I cannot really understand how this works, but
'coarse' could be 'gross' (synonyms) and 'gross' is located in the answer.
The remaining letters 'er' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for grosser that I've seen before include "more vulgar" , "More corpulent" .)

I've seen this clue in The Irish Independent.
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