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Finding the Fourth Proportional to 6,241.46, 9,362.16 and 2,542.82

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Solution

The fourth proportional to 6,241.46, 9,362.16 and 2,542.82 is: 3,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.46 : 9,362.16 = 2,542.82 : x
  2. Step 2: Convert to fraction form
    6,241.46/9,362.16 = 2,542.82/x
  3. Step 3: Cross multiply
    6,241.46x = 9,362.16 × 2,542.82
  4. Step 4: Simplify right side
    6,241.46x = 23,806,287.69
  5. Step 5: Solve for x
    x = 23,806,287.69/6,241.46
  6. Step 6: Final answer
    x = 3,814.22

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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.