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Finding the Fourth Proportional to 6,745.91, 9,309.38 and 3,761.87

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Solution

The fourth proportional to 6,745.91, 9,309.38 and 3,761.87 is: 5,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.91 : 9,309.38 = 3,761.87 : x
  2. Step 2: Convert to fraction form
    6,745.91/9,309.38 = 3,761.87/x
  3. Step 3: Cross multiply
    6,745.91x = 9,309.38 × 3,761.87
  4. Step 4: Simplify right side
    6,745.91x = 35,020,611.98
  5. Step 5: Solve for x
    x = 35,020,611.98/6,745.91
  6. Step 6: Final answer
    x = 5,191.39

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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.