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Finding the Fourth Proportional to 6,167.60, 9,252.84 and 1,785.14

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Solution

The fourth proportional to 6,167.60, 9,252.84 and 1,785.14 is: 2,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.60 : 9,252.84 = 1,785.14 : x
  2. Step 2: Convert to fraction form
    6,167.60/9,252.84 = 1,785.14/x
  3. Step 3: Cross multiply
    6,167.60x = 9,252.84 × 1,785.14
  4. Step 4: Simplify right side
    6,167.60x = 16,517,614.80
  5. Step 5: Solve for x
    x = 16,517,614.80/6,167.60
  6. Step 6: Final answer
    x = 2,678.13

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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.