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Finding the Fourth Proportional to 6,768.39, 9,342.07 and 5,418.73

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Solution

The fourth proportional to 6,768.39, 9,342.07 and 5,418.73 is: 7,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.39 : 9,342.07 = 5,418.73 : x
  2. Step 2: Convert to fraction form
    6,768.39/9,342.07 = 5,418.73/x
  3. Step 3: Cross multiply
    6,768.39x = 9,342.07 × 5,418.73
  4. Step 4: Simplify right side
    6,768.39x = 50,622,154.97
  5. Step 5: Solve for x
    x = 50,622,154.97/6,768.39
  6. Step 6: Final answer
    x = 7,479.20

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Why These Related Problems?

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