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Finding the Fourth Proportional to 6,343.56, 9,517.41 and 2,833.14

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Solution

The fourth proportional to 6,343.56, 9,517.41 and 2,833.14 is: 4,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.56 : 9,517.41 = 2,833.14 : x
  2. Step 2: Convert to fraction form
    6,343.56/9,517.41 = 2,833.14/x
  3. Step 3: Cross multiply
    6,343.56x = 9,517.41 × 2,833.14
  4. Step 4: Simplify right side
    6,343.56x = 26,964,154.97
  5. Step 5: Solve for x
    x = 26,964,154.97/6,343.56
  6. Step 6: Final answer
    x = 4,250.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.