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Finding the Fourth Proportional to 7,132.52, 9,842.11 and 4,148.96

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Solution

The fourth proportional to 7,132.52, 9,842.11 and 4,148.96 is: 5,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.52 : 9,842.11 = 4,148.96 : x
  2. Step 2: Convert to fraction form
    7,132.52/9,842.11 = 4,148.96/x
  3. Step 3: Cross multiply
    7,132.52x = 9,842.11 × 4,148.96
  4. Step 4: Simplify right side
    7,132.52x = 40,834,461.12
  5. Step 5: Solve for x
    x = 40,834,461.12/7,132.52
  6. Step 6: Final answer
    x = 5,725.11

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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.