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Finding the Fourth Proportional to 9,286.47, 13,929.72 and 3,287.01

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Solution

The fourth proportional to 9,286.47, 13,929.72 and 3,287.01 is: 4,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.47 : 13,929.72 = 3,287.01 : x
  2. Step 2: Convert to fraction form
    9,286.47/13,929.72 = 3,287.01/x
  3. Step 3: Cross multiply
    9,286.47x = 13,929.72 × 3,287.01
  4. Step 4: Simplify right side
    9,286.47x = 45,787,134.29
  5. Step 5: Solve for x
    x = 45,787,134.29/9,286.47
  6. Step 6: Final answer
    x = 4,930.52

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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.