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Finding the Fourth Proportional to 6,912.32, 10,369.52 and 2,469.64

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Solution

The fourth proportional to 6,912.32, 10,369.52 and 2,469.64 is: 3,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.32 : 10,369.52 = 2,469.64 : x
  2. Step 2: Convert to fraction form
    6,912.32/10,369.52 = 2,469.64/x
  3. Step 3: Cross multiply
    6,912.32x = 10,369.52 × 2,469.64
  4. Step 4: Simplify right side
    6,912.32x = 25,608,981.37
  5. Step 5: Solve for x
    x = 25,608,981.37/6,912.32
  6. Step 6: Final answer
    x = 3,704.83

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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.