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Finding the Fourth Proportional to 6,242.76, 9,361.53 and 2,542.48

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Solution

The fourth proportional to 6,242.76, 9,361.53 and 2,542.48 is: 3,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.76 : 9,361.53 = 2,542.48 : x
  2. Step 2: Convert to fraction form
    6,242.76/9,361.53 = 2,542.48/x
  3. Step 3: Cross multiply
    6,242.76x = 9,361.53 × 2,542.48
  4. Step 4: Simplify right side
    6,242.76x = 23,801,502.79
  5. Step 5: Solve for x
    x = 23,801,502.79/6,242.76
  6. Step 6: Final answer
    x = 3,812.66

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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.