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Finding the Fourth Proportional to 6,114.27, 9,175.05 and 2,218.98

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Solution

The fourth proportional to 6,114.27, 9,175.05 and 2,218.98 is: 3,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.27 : 9,175.05 = 2,218.98 : x
  2. Step 2: Convert to fraction form
    6,114.27/9,175.05 = 2,218.98/x
  3. Step 3: Cross multiply
    6,114.27x = 9,175.05 × 2,218.98
  4. Step 4: Simplify right side
    6,114.27x = 20,359,252.45
  5. Step 5: Solve for x
    x = 20,359,252.45/6,114.27
  6. Step 6: Final answer
    x = 3,329.79

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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.