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Finding the Fourth Proportional to 9,250.38, 12,766.97 and 7,275.92

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Solution

The fourth proportional to 9,250.38, 12,766.97 and 7,275.92 is: 10,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.38 : 12,766.97 = 7,275.92 : x
  2. Step 2: Convert to fraction form
    9,250.38/12,766.97 = 7,275.92/x
  3. Step 3: Cross multiply
    9,250.38x = 12,766.97 × 7,275.92
  4. Step 4: Simplify right side
    9,250.38x = 92,891,352.15
  5. Step 5: Solve for x
    x = 92,891,352.15/9,250.38
  6. Step 6: Final answer
    x = 10,041.90

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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.