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Finding the Fourth Proportional to 10,962.70, 16,424.90 and 9,125.62

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Solution

The fourth proportional to 10,962.70, 16,424.90 and 9,125.62 is: 13,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.70 : 16,424.90 = 9,125.62 : x
  2. Step 2: Convert to fraction form
    10,962.70/16,424.90 = 9,125.62/x
  3. Step 3: Cross multiply
    10,962.70x = 16,424.90 × 9,125.62
  4. Step 4: Simplify right side
    10,962.70x = 149,887,395.94
  5. Step 5: Solve for x
    x = 149,887,395.94/10,962.70
  6. Step 6: Final answer
    x = 13,672.49

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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.