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Finding the Fourth Proportional to 6,166.42, 9,251.58 and 2,214.97

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Solution

The fourth proportional to 6,166.42, 9,251.58 and 2,214.97 is: 3,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.42 : 9,251.58 = 2,214.97 : x
  2. Step 2: Convert to fraction form
    6,166.42/9,251.58 = 2,214.97/x
  3. Step 3: Cross multiply
    6,166.42x = 9,251.58 × 2,214.97
  4. Step 4: Simplify right side
    6,166.42x = 20,491,972.15
  5. Step 5: Solve for x
    x = 20,491,972.15/6,166.42
  6. Step 6: Final answer
    x = 3,323.16

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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.