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Finding the Fourth Proportional to 6,306.24, 9,463.92 and 4,230.24

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Solution

The fourth proportional to 6,306.24, 9,463.92 and 4,230.24 is: 6,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.24 : 9,463.92 = 4,230.24 : x
  2. Step 2: Convert to fraction form
    6,306.24/9,463.92 = 4,230.24/x
  3. Step 3: Cross multiply
    6,306.24x = 9,463.92 × 4,230.24
  4. Step 4: Simplify right side
    6,306.24x = 40,034,652.94
  5. Step 5: Solve for x
    x = 40,034,652.94/6,306.24
  6. Step 6: Final answer
    x = 6,348.42

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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.