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Finding the Fourth Proportional to 6,113.10, 9,168.63 and 1,729.47

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Solution

The fourth proportional to 6,113.10, 9,168.63 and 1,729.47 is: 2,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.10 : 9,168.63 = 1,729.47 : x
  2. Step 2: Convert to fraction form
    6,113.10/9,168.63 = 1,729.47/x
  3. Step 3: Cross multiply
    6,113.10x = 9,168.63 × 1,729.47
  4. Step 4: Simplify right side
    6,113.10x = 15,856,870.53
  5. Step 5: Solve for x
    x = 15,856,870.53/6,113.10
  6. Step 6: Final answer
    x = 2,593.92

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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.