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Finding the Fourth Proportional to 6,002.69, 9,008.09 and 2,107.13

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Solution

The fourth proportional to 6,002.69, 9,008.09 and 2,107.13 is: 3,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.69 : 9,008.09 = 2,107.13 : x
  2. Step 2: Convert to fraction form
    6,002.69/9,008.09 = 2,107.13/x
  3. Step 3: Cross multiply
    6,002.69x = 9,008.09 × 2,107.13
  4. Step 4: Simplify right side
    6,002.69x = 18,981,206.15
  5. Step 5: Solve for x
    x = 18,981,206.15/6,002.69
  6. Step 6: Final answer
    x = 3,162.12

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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.