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Finding the Fourth Proportional to 8,268.89, 12,387.69 and 6,410.90

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Solution

The fourth proportional to 8,268.89, 12,387.69 and 6,410.90 is: 9,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.89 : 12,387.69 = 6,410.90 : x
  2. Step 2: Convert to fraction form
    8,268.89/12,387.69 = 6,410.90/x
  3. Step 3: Cross multiply
    8,268.89x = 12,387.69 × 6,410.90
  4. Step 4: Simplify right side
    8,268.89x = 79,416,179.88
  5. Step 5: Solve for x
    x = 79,416,179.88/8,268.89
  6. Step 6: Final answer
    x = 9,604.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.