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Finding the Fourth Proportional to 6,119.12, 9,166.31 and 4,033.97

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Solution

The fourth proportional to 6,119.12, 9,166.31 and 4,033.97 is: 6,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.12 : 9,166.31 = 4,033.97 : x
  2. Step 2: Convert to fraction form
    6,119.12/9,166.31 = 4,033.97/x
  3. Step 3: Cross multiply
    6,119.12x = 9,166.31 × 4,033.97
  4. Step 4: Simplify right side
    6,119.12x = 36,976,553.55
  5. Step 5: Solve for x
    x = 36,976,553.55/6,119.12
  6. Step 6: Final answer
    x = 6,042.79

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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.