Step 1: Assign variable for the unknown that we need to find.
Let 'x' be the licence fee for a car that cost $9,900.
Step 2: Set up a proportion based on the given information.
[tex] \frac{x}{9900} =\frac{82}{9200} [/tex]
Step 3: Solve for x
To get x alone we need to undo whatever is done to x. So multiply 9900 on both sides of the equation.
[tex] \frac{9900x}{9900} =\frac{9900*82}{9200} [/tex]
Simplifying fraction on both sides of the equation, we get...
[tex] x=88.24 [/tex]
Conclusion:
$88.24 is the licence fee for a car that cost $9,900.