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Finding the Fourth Proportional to 6,640.36, 9,161.83 and 4,122.57

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Solution

The fourth proportional to 6,640.36, 9,161.83 and 4,122.57 is: 5,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.36 : 9,161.83 = 4,122.57 : x
  2. Step 2: Convert to fraction form
    6,640.36/9,161.83 = 4,122.57/x
  3. Step 3: Cross multiply
    6,640.36x = 9,161.83 × 4,122.57
  4. Step 4: Simplify right side
    6,640.36x = 37,770,285.50
  5. Step 5: Solve for x
    x = 37,770,285.50/6,640.36
  6. Step 6: Final answer
    x = 5,687.99

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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.