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Finding the Fourth Proportional to 6,111.57, 9,168.15 and 1,729.14

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Solution

The fourth proportional to 6,111.57, 9,168.15 and 1,729.14 is: 2,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.57 : 9,168.15 = 1,729.14 : x
  2. Step 2: Convert to fraction form
    6,111.57/9,168.15 = 1,729.14/x
  3. Step 3: Cross multiply
    6,111.57x = 9,168.15 × 1,729.14
  4. Step 4: Simplify right side
    6,111.57x = 15,853,014.89
  5. Step 5: Solve for x
    x = 15,853,014.89/6,111.57
  6. Step 6: Final answer
    x = 2,593.93

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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.