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Finding the Fourth Proportional to 9,167.20, 13,761.60 and 5,221.60

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Solution

The fourth proportional to 9,167.20, 13,761.60 and 5,221.60 is: 7,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.20 : 13,761.60 = 5,221.60 : x
  2. Step 2: Convert to fraction form
    9,167.20/13,761.60 = 5,221.60/x
  3. Step 3: Cross multiply
    9,167.20x = 13,761.60 × 5,221.60
  4. Step 4: Simplify right side
    9,167.20x = 71,857,570.56
  5. Step 5: Solve for x
    x = 71,857,570.56/9,167.20
  6. Step 6: Final answer
    x = 7,838.55

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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.