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Finding the Fourth Proportional to 9,513.90, 13,132.78 and 8,517.38

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Solution

The fourth proportional to 9,513.90, 13,132.78 and 8,517.38 is: 11,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.90 : 13,132.78 = 8,517.38 : x
  2. Step 2: Convert to fraction form
    9,513.90/13,132.78 = 8,517.38/x
  3. Step 3: Cross multiply
    9,513.90x = 13,132.78 × 8,517.38
  4. Step 4: Simplify right side
    9,513.90x = 111,856,877.72
  5. Step 5: Solve for x
    x = 111,856,877.72/9,513.90
  6. Step 6: Final answer
    x = 11,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.