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Finding the Fourth Proportional to 9,115.38, 12,575.75 and 5,756.92

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Solution

The fourth proportional to 9,115.38, 12,575.75 and 5,756.92 is: 7,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.38 : 12,575.75 = 5,756.92 : x
  2. Step 2: Convert to fraction form
    9,115.38/12,575.75 = 5,756.92/x
  3. Step 3: Cross multiply
    9,115.38x = 12,575.75 × 5,756.92
  4. Step 4: Simplify right side
    9,115.38x = 72,397,526.47
  5. Step 5: Solve for x
    x = 72,397,526.47/9,115.38
  6. Step 6: Final answer
    x = 7,942.35

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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.