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Finding the Fourth Proportional to 6,914.27, 10,372.02 and 2,232.47

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Solution

The fourth proportional to 6,914.27, 10,372.02 and 2,232.47 is: 3,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.27 : 10,372.02 = 2,232.47 : x
  2. Step 2: Convert to fraction form
    6,914.27/10,372.02 = 2,232.47/x
  3. Step 3: Cross multiply
    6,914.27x = 10,372.02 × 2,232.47
  4. Step 4: Simplify right side
    6,914.27x = 23,155,241.05
  5. Step 5: Solve for x
    x = 23,155,241.05/6,914.27
  6. Step 6: Final answer
    x = 3,348.90

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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.