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Finding the Fourth Proportional to 6,242.91, 8,613.14 and 4,119.49

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Solution

The fourth proportional to 6,242.91, 8,613.14 and 4,119.49 is: 5,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.91 : 8,613.14 = 4,119.49 : x
  2. Step 2: Convert to fraction form
    6,242.91/8,613.14 = 4,119.49/x
  3. Step 3: Cross multiply
    6,242.91x = 8,613.14 × 4,119.49
  4. Step 4: Simplify right side
    6,242.91x = 35,481,744.10
  5. Step 5: Solve for x
    x = 35,481,744.10/6,242.91
  6. Step 6: Final answer
    x = 5,683.53

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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.