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Finding the Fourth Proportional to 6,329.29, 8,734.31 and 3,496.78

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Solution

The fourth proportional to 6,329.29, 8,734.31 and 3,496.78 is: 4,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.29 : 8,734.31 = 3,496.78 : x
  2. Step 2: Convert to fraction form
    6,329.29/8,734.31 = 3,496.78/x
  3. Step 3: Cross multiply
    6,329.29x = 8,734.31 × 3,496.78
  4. Step 4: Simplify right side
    6,329.29x = 30,541,947.42
  5. Step 5: Solve for x
    x = 30,541,947.42/6,329.29
  6. Step 6: Final answer
    x = 4,825.50

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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.