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Finding the Fourth Proportional to 6,329.30, 8,734.34 and 3,496.88

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Solution

The fourth proportional to 6,329.30, 8,734.34 and 3,496.88 is: 4,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.30 : 8,734.34 = 3,496.88 : x
  2. Step 2: Convert to fraction form
    6,329.30/8,734.34 = 3,496.88/x
  3. Step 3: Cross multiply
    6,329.30x = 8,734.34 × 3,496.88
  4. Step 4: Simplify right side
    6,329.30x = 30,542,938.86
  5. Step 5: Solve for x
    x = 30,542,938.86/6,329.30
  6. Step 6: Final answer
    x = 4,825.64

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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.