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Finding the Fourth Proportional to 6,729.38, 9,286.39 and 3,745.15

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Solution

The fourth proportional to 6,729.38, 9,286.39 and 3,745.15 is: 5,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.38 : 9,286.39 = 3,745.15 : x
  2. Step 2: Convert to fraction form
    6,729.38/9,286.39 = 3,745.15/x
  3. Step 3: Cross multiply
    6,729.38x = 9,286.39 × 3,745.15
  4. Step 4: Simplify right side
    6,729.38x = 34,778,923.51
  5. Step 5: Solve for x
    x = 34,778,923.51/6,729.38
  6. Step 6: Final answer
    x = 5,168.22

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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.