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Finding the Fourth Proportional to 6,174.22, 9,262.85 and 1,791.61

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Solution

The fourth proportional to 6,174.22, 9,262.85 and 1,791.61 is: 2,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.22 : 9,262.85 = 1,791.61 : x
  2. Step 2: Convert to fraction form
    6,174.22/9,262.85 = 1,791.61/x
  3. Step 3: Cross multiply
    6,174.22x = 9,262.85 × 1,791.61
  4. Step 4: Simplify right side
    6,174.22x = 16,595,417.31
  5. Step 5: Solve for x
    x = 16,595,417.31/6,174.22
  6. Step 6: Final answer
    x = 2,687.86

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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.