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Finding the Fourth Proportional to 9,411.90, 14,117.85 and 5,715.20

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Solution

The fourth proportional to 9,411.90, 14,117.85 and 5,715.20 is: 8,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.90 : 14,117.85 = 5,715.20 : x
  2. Step 2: Convert to fraction form
    9,411.90/14,117.85 = 5,715.20/x
  3. Step 3: Cross multiply
    9,411.90x = 14,117.85 × 5,715.20
  4. Step 4: Simplify right side
    9,411.90x = 80,686,265.73
  5. Step 5: Solve for x
    x = 80,686,265.73/9,411.90
  6. Step 6: Final answer
    x = 8,572.79

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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.