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Finding the Fourth Proportional to 9,221.60, 13,833.65 and 2,979.54

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Solution

The fourth proportional to 9,221.60, 13,833.65 and 2,979.54 is: 4,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.60 : 13,833.65 = 2,979.54 : x
  2. Step 2: Convert to fraction form
    9,221.60/13,833.65 = 2,979.54/x
  3. Step 3: Cross multiply
    9,221.60x = 13,833.65 × 2,979.54
  4. Step 4: Simplify right side
    9,221.60x = 41,217,920.97
  5. Step 5: Solve for x
    x = 41,217,920.97/9,221.60
  6. Step 6: Final answer
    x = 4,469.71

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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.