'interpolate value based on multiple columns in Python

I have this df:

d = pd.DataFrame({'A': [1,5,10,15],
                'value': [2, 3, 4, 1]})

d

Now I want to linear interpolate the value of A=9

I have tried different variants of df.interpolate(method ='linear'), but cant figure out how to use the placement of column A to get the right interpolation.

python-3.x

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'interpolate value based on multiple columns in Python

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