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Finding the Fourth Proportional to 6,914.24, 9,542.39 and 4,227.03

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Solution

The fourth proportional to 6,914.24, 9,542.39 and 4,227.03 is: 5,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.24 : 9,542.39 = 4,227.03 : x
  2. Step 2: Convert to fraction form
    6,914.24/9,542.39 = 4,227.03/x
  3. Step 3: Cross multiply
    6,914.24x = 9,542.39 × 4,227.03
  4. Step 4: Simplify right side
    6,914.24x = 40,335,993.34
  5. Step 5: Solve for x
    x = 40,335,993.34/6,914.24
  6. Step 6: Final answer
    x = 5,833.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.