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Finding the Fourth Proportional to 6,321.38, 9,479.13 and 3,689.64

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Solution

The fourth proportional to 6,321.38, 9,479.13 and 3,689.64 is: 5,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.38 : 9,479.13 = 3,689.64 : x
  2. Step 2: Convert to fraction form
    6,321.38/9,479.13 = 3,689.64/x
  3. Step 3: Cross multiply
    6,321.38x = 9,479.13 × 3,689.64
  4. Step 4: Simplify right side
    6,321.38x = 34,974,626.60
  5. Step 5: Solve for x
    x = 34,974,626.60/6,321.38
  6. Step 6: Final answer
    x = 5,532.75

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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.