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Finding the Fourth Proportional to 10,381.50, 15,496.56 and 9,069.30

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Solution

The fourth proportional to 10,381.50, 15,496.56 and 9,069.30 is: 13,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.50 : 15,496.56 = 9,069.30 : x
  2. Step 2: Convert to fraction form
    10,381.50/15,496.56 = 9,069.30/x
  3. Step 3: Cross multiply
    10,381.50x = 15,496.56 × 9,069.30
  4. Step 4: Simplify right side
    10,381.50x = 140,542,951.61
  5. Step 5: Solve for x
    x = 140,542,951.61/10,381.50
  6. Step 6: Final answer
    x = 13,537.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.