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Finding the Fourth Proportional to 9,962.49, 13,747.92 and 5,929.31

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Solution

The fourth proportional to 9,962.49, 13,747.92 and 5,929.31 is: 8,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.49 : 13,747.92 = 5,929.31 : x
  2. Step 2: Convert to fraction form
    9,962.49/13,747.92 = 5,929.31/x
  3. Step 3: Cross multiply
    9,962.49x = 13,747.92 × 5,929.31
  4. Step 4: Simplify right side
    9,962.49x = 81,515,610.80
  5. Step 5: Solve for x
    x = 81,515,610.80/9,962.49
  6. Step 6: Final answer
    x = 8,182.25

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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.