Step 1 :We are given that a car requires 92 litres of gasoline to travel for 1034 kilometers. We need to find out how far the car can travel if the gas tank holds 47 litres.
Step 2 :We can set up the proportion as follows: \( \frac{1034 \text{ km}}{92 \text{ litres}} = \frac{x \text{ km}}{47 \text{ litres}} \). Solving for x will give us the distance the car can travel with 47 litres of gasoline.
Step 3 :Substituting the given values into the equation, we get \( \frac{1034}{92} = \frac{x}{47} \)
Step 4 :Solving for x, we get \( x = \frac{1034}{92} * 47 \)
Step 5 :Calculating the above expression, we get \( x = 528 \)
Step 6 :Rounding to the nearest kilometer, we get \( x = 528 \)
Step 7 :So, the car can travel \(\boxed{528}\) kilometers with 47 litres of gasoline.