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Finding the Fourth Proportional to 9,002.24, 13,483.92 and 8,781.92

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Solution

The fourth proportional to 9,002.24, 13,483.92 and 8,781.92 is: 13,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.24 : 13,483.92 = 8,781.92 : x
  2. Step 2: Convert to fraction form
    9,002.24/13,483.92 = 8,781.92/x
  3. Step 3: Cross multiply
    9,002.24x = 13,483.92 × 8,781.92
  4. Step 4: Simplify right side
    9,002.24x = 118,414,706.73
  5. Step 5: Solve for x
    x = 118,414,706.73/9,002.24
  6. Step 6: Final answer
    x = 13,153.92

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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.