Step 1 :Solve for $w$ in the equation \(\frac{9}{12}=\frac{w}{8}\).
Step 2 :Cross multiply to get $9*8 = 12*w$.
Step 3 :Solve for $w$ by dividing both sides of the equation by 12.
Step 4 :Performing the calculation gives $w = 6.0$.
Step 5 :The final answer is \(\boxed{6}\).