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Finding the Fourth Proportional to 6,463.75, 8,920.17 and 3,813.43

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Solution

The fourth proportional to 6,463.75, 8,920.17 and 3,813.43 is: 5,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.75 : 8,920.17 = 3,813.43 : x
  2. Step 2: Convert to fraction form
    6,463.75/8,920.17 = 3,813.43/x
  3. Step 3: Cross multiply
    6,463.75x = 8,920.17 × 3,813.43
  4. Step 4: Simplify right side
    6,463.75x = 34,016,443.88
  5. Step 5: Solve for x
    x = 34,016,443.88/6,463.75
  6. Step 6: Final answer
    x = 5,262.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.