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Finding the Fourth Proportional to 6,171.06, 9,251.97 and 2,008.59

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Solution

The fourth proportional to 6,171.06, 9,251.97 and 2,008.59 is: 3,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.06 : 9,251.97 = 2,008.59 : x
  2. Step 2: Convert to fraction form
    6,171.06/9,251.97 = 2,008.59/x
  3. Step 3: Cross multiply
    6,171.06x = 9,251.97 × 2,008.59
  4. Step 4: Simplify right side
    6,171.06x = 18,583,414.42
  5. Step 5: Solve for x
    x = 18,583,414.42/6,171.06
  6. Step 6: Final answer
    x = 3,011.38

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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.