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Finding the Fourth Proportional to 9,262.71, 12,785.42 and 5,286.47

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Solution

The fourth proportional to 9,262.71, 12,785.42 and 5,286.47 is: 7,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.71 : 12,785.42 = 5,286.47 : x
  2. Step 2: Convert to fraction form
    9,262.71/12,785.42 = 5,286.47/x
  3. Step 3: Cross multiply
    9,262.71x = 12,785.42 × 5,286.47
  4. Step 4: Simplify right side
    9,262.71x = 67,589,744.80
  5. Step 5: Solve for x
    x = 67,589,744.80/9,262.71
  6. Step 6: Final answer
    x = 7,296.97

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