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Finding the Fourth Proportional to 6,191.71, 9,291.17 and 2,494.27

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Solution

The fourth proportional to 6,191.71, 9,291.17 and 2,494.27 is: 3,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.71 : 9,291.17 = 2,494.27 : x
  2. Step 2: Convert to fraction form
    6,191.71/9,291.17 = 2,494.27/x
  3. Step 3: Cross multiply
    6,191.71x = 9,291.17 × 2,494.27
  4. Step 4: Simplify right side
    6,191.71x = 23,174,686.60
  5. Step 5: Solve for x
    x = 23,174,686.60/6,191.71
  6. Step 6: Final answer
    x = 3,742.86

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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.