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Finding the Fourth Proportional to 6,424.04, 9,630.21 and 2,472.78

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Solution

The fourth proportional to 6,424.04, 9,630.21 and 2,472.78 is: 3,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.04 : 9,630.21 = 2,472.78 : x
  2. Step 2: Convert to fraction form
    6,424.04/9,630.21 = 2,472.78/x
  3. Step 3: Cross multiply
    6,424.04x = 9,630.21 × 2,472.78
  4. Step 4: Simplify right side
    6,424.04x = 23,813,342.53
  5. Step 5: Solve for x
    x = 23,813,342.53/6,424.04
  6. Step 6: Final answer
    x = 3,706.91

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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.