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Finding the Fourth Proportional to 6,113.46, 9,170.80 and 2,218.17

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Solution

The fourth proportional to 6,113.46, 9,170.80 and 2,218.17 is: 3,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.46 : 9,170.80 = 2,218.17 : x
  2. Step 2: Convert to fraction form
    6,113.46/9,170.80 = 2,218.17/x
  3. Step 3: Cross multiply
    6,113.46x = 9,170.80 × 2,218.17
  4. Step 4: Simplify right side
    6,113.46x = 20,342,387.89
  5. Step 5: Solve for x
    x = 20,342,387.89/6,113.46
  6. Step 6: Final answer
    x = 3,327.48

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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.