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Finding the Fourth Proportional to 9,613.28, 14,419.92 and 5,232.80

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Solution

The fourth proportional to 9,613.28, 14,419.92 and 5,232.80 is: 7,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.28 : 14,419.92 = 5,232.80 : x
  2. Step 2: Convert to fraction form
    9,613.28/14,419.92 = 5,232.80/x
  3. Step 3: Cross multiply
    9,613.28x = 14,419.92 × 5,232.80
  4. Step 4: Simplify right side
    9,613.28x = 75,456,557.38
  5. Step 5: Solve for x
    x = 75,456,557.38/9,613.28
  6. Step 6: Final answer
    x = 7,849.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.