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Finding the Fourth Proportional to 6,745.38, 9,305.73 and 3,912.54

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Solution

The fourth proportional to 6,745.38, 9,305.73 and 3,912.54 is: 5,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.38 : 9,305.73 = 3,912.54 : x
  2. Step 2: Convert to fraction form
    6,745.38/9,305.73 = 3,912.54/x
  3. Step 3: Cross multiply
    6,745.38x = 9,305.73 × 3,912.54
  4. Step 4: Simplify right side
    6,745.38x = 36,409,040.85
  5. Step 5: Solve for x
    x = 36,409,040.85/6,745.38
  6. Step 6: Final answer
    x = 5,397.63

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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.