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Finding the Fourth Proportional to 9,229.41, 13,841.28 and 8,726.40

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Solution

The fourth proportional to 9,229.41, 13,841.28 and 8,726.40 is: 13,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.41 : 13,841.28 = 8,726.40 : x
  2. Step 2: Convert to fraction form
    9,229.41/13,841.28 = 8,726.40/x
  3. Step 3: Cross multiply
    9,229.41x = 13,841.28 × 8,726.40
  4. Step 4: Simplify right side
    9,229.41x = 120,784,545.79
  5. Step 5: Solve for x
    x = 120,784,545.79/9,229.41
  6. Step 6: Final answer
    x = 13,086.92

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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.