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Finding the Fourth Proportional to 6,114.56, 9,166.43 and 2,649.92

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Solution

The fourth proportional to 6,114.56, 9,166.43 and 2,649.92 is: 3,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.56 : 9,166.43 = 2,649.92 : x
  2. Step 2: Convert to fraction form
    6,114.56/9,166.43 = 2,649.92/x
  3. Step 3: Cross multiply
    6,114.56x = 9,166.43 × 2,649.92
  4. Step 4: Simplify right side
    6,114.56x = 24,290,266.98
  5. Step 5: Solve for x
    x = 24,290,266.98/6,114.56
  6. Step 6: Final answer
    x = 3,972.53

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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.