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Finding the Fourth Proportional to 9,911.25, 14,839.20 and 8,177.13

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Solution

The fourth proportional to 9,911.25, 14,839.20 and 8,177.13 is: 12,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.25 : 14,839.20 = 8,177.13 : x
  2. Step 2: Convert to fraction form
    9,911.25/14,839.20 = 8,177.13/x
  3. Step 3: Cross multiply
    9,911.25x = 14,839.20 × 8,177.13
  4. Step 4: Simplify right side
    9,911.25x = 121,342,067.50
  5. Step 5: Solve for x
    x = 121,342,067.50/9,911.25
  6. Step 6: Final answer
    x = 12,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.