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Finding the Fourth Proportional to 6,412.48, 9,612.32 and 3,074.57

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Solution

The fourth proportional to 6,412.48, 9,612.32 and 3,074.57 is: 4,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.48 : 9,612.32 = 3,074.57 : x
  2. Step 2: Convert to fraction form
    6,412.48/9,612.32 = 3,074.57/x
  3. Step 3: Cross multiply
    6,412.48x = 9,612.32 × 3,074.57
  4. Step 4: Simplify right side
    6,412.48x = 29,553,687.27
  5. Step 5: Solve for x
    x = 29,553,687.27/6,412.48
  6. Step 6: Final answer
    x = 4,608.78

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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.