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Finding the Fourth Proportional to 6,745.84, 9,308.59 and 3,761.80

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Solution

The fourth proportional to 6,745.84, 9,308.59 and 3,761.80 is: 5,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.84 : 9,308.59 = 3,761.80 : x
  2. Step 2: Convert to fraction form
    6,745.84/9,308.59 = 3,761.80/x
  3. Step 3: Cross multiply
    6,745.84x = 9,308.59 × 3,761.80
  4. Step 4: Simplify right side
    6,745.84x = 35,017,021.19
  5. Step 5: Solve for x
    x = 35,017,021.19/6,745.84
  6. Step 6: Final answer
    x = 5,190.91

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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.