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Finding the Fourth Proportional to 9,115.90, 13,673.86 and 5,217.57

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Solution

The fourth proportional to 9,115.90, 13,673.86 and 5,217.57 is: 7,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.90 : 13,673.86 = 5,217.57 : x
  2. Step 2: Convert to fraction form
    9,115.90/13,673.86 = 5,217.57/x
  3. Step 3: Cross multiply
    9,115.90x = 13,673.86 × 5,217.57
  4. Step 4: Simplify right side
    9,115.90x = 71,344,308.68
  5. Step 5: Solve for x
    x = 71,344,308.68/9,115.90
  6. Step 6: Final answer
    x = 7,826.36

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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.