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Finding the Fourth Proportional to 6,469.74, 9,704.61 and 2,574.18

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Solution

The fourth proportional to 6,469.74, 9,704.61 and 2,574.18 is: 3,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.74 : 9,704.61 = 2,574.18 : x
  2. Step 2: Convert to fraction form
    6,469.74/9,704.61 = 2,574.18/x
  3. Step 3: Cross multiply
    6,469.74x = 9,704.61 × 2,574.18
  4. Step 4: Simplify right side
    6,469.74x = 24,981,412.97
  5. Step 5: Solve for x
    x = 24,981,412.97/6,469.74
  6. Step 6: Final answer
    x = 3,861.27

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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.