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Finding the Fourth Proportional to 6,093.24, 9,154.46 and 3,906.24

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Solution

The fourth proportional to 6,093.24, 9,154.46 and 3,906.24 is: 5,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.24 : 9,154.46 = 3,906.24 : x
  2. Step 2: Convert to fraction form
    6,093.24/9,154.46 = 3,906.24/x
  3. Step 3: Cross multiply
    6,093.24x = 9,154.46 × 3,906.24
  4. Step 4: Simplify right side
    6,093.24x = 35,759,517.83
  5. Step 5: Solve for x
    x = 35,759,517.83/6,093.24
  6. Step 6: Final answer
    x = 5,868.72

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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.