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Finding the Fourth Proportional to 6,424.72, 9,630.16 and 4,202.71

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Solution

The fourth proportional to 6,424.72, 9,630.16 and 4,202.71 is: 6,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.72 : 9,630.16 = 4,202.71 : x
  2. Step 2: Convert to fraction form
    6,424.72/9,630.16 = 4,202.71/x
  3. Step 3: Cross multiply
    6,424.72x = 9,630.16 × 4,202.71
  4. Step 4: Simplify right side
    6,424.72x = 40,472,769.73
  5. Step 5: Solve for x
    x = 40,472,769.73/6,424.72
  6. Step 6: Final answer
    x = 6,299.54

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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.