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Finding the Fourth Proportional to 6,153.92, 9,217.80 and 5,713.28

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Solution

The fourth proportional to 6,153.92, 9,217.80 and 5,713.28 is: 8,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.92 : 9,217.80 = 5,713.28 : x
  2. Step 2: Convert to fraction form
    6,153.92/9,217.80 = 5,713.28/x
  3. Step 3: Cross multiply
    6,153.92x = 9,217.80 × 5,713.28
  4. Step 4: Simplify right side
    6,153.92x = 52,663,872.38
  5. Step 5: Solve for x
    x = 52,663,872.38/6,153.92
  6. Step 6: Final answer
    x = 8,557.78

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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.