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Finding the Fourth Proportional to 9,691.33, 14,537.36 and 3,451.80

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Solution

The fourth proportional to 9,691.33, 14,537.36 and 3,451.80 is: 5,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.33 : 14,537.36 = 3,451.80 : x
  2. Step 2: Convert to fraction form
    9,691.33/14,537.36 = 3,451.80/x
  3. Step 3: Cross multiply
    9,691.33x = 14,537.36 × 3,451.80
  4. Step 4: Simplify right side
    9,691.33x = 50,180,059.25
  5. Step 5: Solve for x
    x = 50,180,059.25/9,691.33
  6. Step 6: Final answer
    x = 5,177.83

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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.