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Finding the Fourth Proportional to 6,002.70, 9,008.31 and 2,107.14

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Solution

The fourth proportional to 6,002.70, 9,008.31 and 2,107.14 is: 3,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.70 : 9,008.31 = 2,107.14 : x
  2. Step 2: Convert to fraction form
    6,002.70/9,008.31 = 2,107.14/x
  3. Step 3: Cross multiply
    6,002.70x = 9,008.31 × 2,107.14
  4. Step 4: Simplify right side
    6,002.70x = 18,981,770.33
  5. Step 5: Solve for x
    x = 18,981,770.33/6,002.70
  6. Step 6: Final answer
    x = 3,162.21

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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.