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Finding the Fourth Proportional to 6,322.43, 8,724.78 and 3,489.77

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Solution

The fourth proportional to 6,322.43, 8,724.78 and 3,489.77 is: 4,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.43 : 8,724.78 = 3,489.77 : x
  2. Step 2: Convert to fraction form
    6,322.43/8,724.78 = 3,489.77/x
  3. Step 3: Cross multiply
    6,322.43x = 8,724.78 × 3,489.77
  4. Step 4: Simplify right side
    6,322.43x = 30,447,431.88
  5. Step 5: Solve for x
    x = 30,447,431.88/6,322.43
  6. Step 6: Final answer
    x = 4,815.78

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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.