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Finding the Fourth Proportional to 6,745.65, 9,308.97 and 3,761.07

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Solution

The fourth proportional to 6,745.65, 9,308.97 and 3,761.07 is: 5,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.65 : 9,308.97 = 3,761.07 : x
  2. Step 2: Convert to fraction form
    6,745.65/9,308.97 = 3,761.07/x
  3. Step 3: Cross multiply
    6,745.65x = 9,308.97 × 3,761.07
  4. Step 4: Simplify right side
    6,745.65x = 35,011,687.80
  5. Step 5: Solve for x
    x = 35,011,687.80/6,745.65
  6. Step 6: Final answer
    x = 5,190.26

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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.