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Finding the Fourth Proportional to 9,286.68, 13,929.97 and 3,287.20

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Solution

The fourth proportional to 9,286.68, 13,929.97 and 3,287.20 is: 4,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.68 : 13,929.97 = 3,287.20 : x
  2. Step 2: Convert to fraction form
    9,286.68/13,929.97 = 3,287.20/x
  3. Step 3: Cross multiply
    9,286.68x = 13,929.97 × 3,287.20
  4. Step 4: Simplify right side
    9,286.68x = 45,790,597.38
  5. Step 5: Solve for x
    x = 45,790,597.38/9,286.68
  6. Step 6: Final answer
    x = 4,930.78

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