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Finding the Fourth Proportional to 6,144.68, 9,213.77 and 2,677.88

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Solution

The fourth proportional to 6,144.68, 9,213.77 and 2,677.88 is: 4,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.68 : 9,213.77 = 2,677.88 : x
  2. Step 2: Convert to fraction form
    6,144.68/9,213.77 = 2,677.88/x
  3. Step 3: Cross multiply
    6,144.68x = 9,213.77 × 2,677.88
  4. Step 4: Simplify right side
    6,144.68x = 24,673,310.95
  5. Step 5: Solve for x
    x = 24,673,310.95/6,144.68
  6. Step 6: Final answer
    x = 4,015.40

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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.