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Finding the Fourth Proportional to 9,251.81, 12,767.38 and 5,272.78

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Solution

The fourth proportional to 9,251.81, 12,767.38 and 5,272.78 is: 7,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.81 : 12,767.38 = 5,272.78 : x
  2. Step 2: Convert to fraction form
    9,251.81/12,767.38 = 5,272.78/x
  3. Step 3: Cross multiply
    9,251.81x = 12,767.38 × 5,272.78
  4. Step 4: Simplify right side
    9,251.81x = 67,319,585.92
  5. Step 5: Solve for x
    x = 67,319,585.92/9,251.81
  6. Step 6: Final answer
    x = 7,276.37

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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.