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Finding the Fourth Proportional to 9,687, 14,531.31 and 3,843.66

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Solution

The fourth proportional to 9,687, 14,531.31 and 3,843.66 is: 5,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687 : 14,531.31 = 3,843.66 : x
  2. Step 2: Convert to fraction form
    9,687/14,531.31 = 3,843.66/x
  3. Step 3: Cross multiply
    9,687x = 14,531.31 × 3,843.66
  4. Step 4: Simplify right side
    9,687x = 55,853,414.99
  5. Step 5: Solve for x
    x = 55,853,414.99/9,687
  6. Step 6: Final answer
    x = 5,765.81

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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.