Given data:
The numbers -4.7 and 8 are proportional to the numbers -9.5 and k
So, we write it as
[tex]\frac{-4.75}{8}=\frac{-9.5}{k}[/tex][tex]\begin{gathered} -4.75k=-9.5\times8 \\ k=\frac{-76}{-4.75} \\ k=16 \end{gathered}[/tex]Thus, the value of k is 16.