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Finding the Fourth Proportional to 6,745.60, 9,308.62 and 3,761.76

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Solution

The fourth proportional to 6,745.60, 9,308.62 and 3,761.76 is: 5,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.60 : 9,308.62 = 3,761.76 : x
  2. Step 2: Convert to fraction form
    6,745.60/9,308.62 = 3,761.76/x
  3. Step 3: Cross multiply
    6,745.60x = 9,308.62 × 3,761.76
  4. Step 4: Simplify right side
    6,745.60x = 35,016,794.37
  5. Step 5: Solve for x
    x = 35,016,794.37/6,745.60
  6. Step 6: Final answer
    x = 5,191.06

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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.