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Finding the Fourth Proportional to 6,296.67, 8,689.34 and 3,463.97

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Solution

The fourth proportional to 6,296.67, 8,689.34 and 3,463.97 is: 4,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.67 : 8,689.34 = 3,463.97 : x
  2. Step 2: Convert to fraction form
    6,296.67/8,689.34 = 3,463.97/x
  3. Step 3: Cross multiply
    6,296.67x = 8,689.34 × 3,463.97
  4. Step 4: Simplify right side
    6,296.67x = 30,099,578.29
  5. Step 5: Solve for x
    x = 30,099,578.29/6,296.67
  6. Step 6: Final answer
    x = 4,780.24

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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.