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Finding the Fourth Proportional to 9,167.68, 12,648.45 and 5,761.41

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Solution

The fourth proportional to 9,167.68, 12,648.45 and 5,761.41 is: 7,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.68 : 12,648.45 = 5,761.41 : x
  2. Step 2: Convert to fraction form
    9,167.68/12,648.45 = 5,761.41/x
  3. Step 3: Cross multiply
    9,167.68x = 12,648.45 × 5,761.41
  4. Step 4: Simplify right side
    9,167.68x = 72,872,906.31
  5. Step 5: Solve for x
    x = 72,872,906.31/9,167.68
  6. Step 6: Final answer
    x = 7,948.89

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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.