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Finding the Fourth Proportional to 9,677.52, 13,350.02 and 8,143.92

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Solution

The fourth proportional to 9,677.52, 13,350.02 and 8,143.92 is: 11,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.52 : 13,350.02 = 8,143.92 : x
  2. Step 2: Convert to fraction form
    9,677.52/13,350.02 = 8,143.92/x
  3. Step 3: Cross multiply
    9,677.52x = 13,350.02 × 8,143.92
  4. Step 4: Simplify right side
    9,677.52x = 108,721,454.16
  5. Step 5: Solve for x
    x = 108,721,454.16/9,677.52
  6. Step 6: Final answer
    x = 11,234.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.