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Finding the Fourth Proportional to 6,151.92, 9,214.80 and 5,711.28

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Solution

The fourth proportional to 6,151.92, 9,214.80 and 5,711.28 is: 8,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.92 : 9,214.80 = 5,711.28 : x
  2. Step 2: Convert to fraction form
    6,151.92/9,214.80 = 5,711.28/x
  3. Step 3: Cross multiply
    6,151.92x = 9,214.80 × 5,711.28
  4. Step 4: Simplify right side
    6,151.92x = 52,628,302.94
  5. Step 5: Solve for x
    x = 52,628,302.94/6,151.92
  6. Step 6: Final answer
    x = 8,554.78

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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.