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Finding the Fourth Proportional to 6,138.45, 9,201.60 and 3,015.90

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Solution

The fourth proportional to 6,138.45, 9,201.60 and 3,015.90 is: 4,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.45 : 9,201.60 = 3,015.90 : x
  2. Step 2: Convert to fraction form
    6,138.45/9,201.60 = 3,015.90/x
  3. Step 3: Cross multiply
    6,138.45x = 9,201.60 × 3,015.90
  4. Step 4: Simplify right side
    6,138.45x = 27,751,105.44
  5. Step 5: Solve for x
    x = 27,751,105.44/6,138.45
  6. Step 6: Final answer
    x = 4,520.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.