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Finding the Fourth Proportional to 6,129.45, 9,198.81 and 4,490.26

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Solution

The fourth proportional to 6,129.45, 9,198.81 and 4,490.26 is: 6,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.45 : 9,198.81 = 4,490.26 : x
  2. Step 2: Convert to fraction form
    6,129.45/9,198.81 = 4,490.26/x
  3. Step 3: Cross multiply
    6,129.45x = 9,198.81 × 4,490.26
  4. Step 4: Simplify right side
    6,129.45x = 41,305,025.59
  5. Step 5: Solve for x
    x = 41,305,025.59/6,129.45
  6. Step 6: Final answer
    x = 6,738.78

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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.