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Finding the Fourth Proportional to 6,167.72, 9,251.67 and 1,785.19

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Solution

The fourth proportional to 6,167.72, 9,251.67 and 1,785.19 is: 2,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.72 : 9,251.67 = 1,785.19 : x
  2. Step 2: Convert to fraction form
    6,167.72/9,251.67 = 1,785.19/x
  3. Step 3: Cross multiply
    6,167.72x = 9,251.67 × 1,785.19
  4. Step 4: Simplify right side
    6,167.72x = 16,516,007.03
  5. Step 5: Solve for x
    x = 16,516,007.03/6,167.72
  6. Step 6: Final answer
    x = 2,677.81

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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.