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Finding the Fourth Proportional to 6,426.44, 9,640.67 and 2,728.69

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Solution

The fourth proportional to 6,426.44, 9,640.67 and 2,728.69 is: 4,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.44 : 9,640.67 = 2,728.69 : x
  2. Step 2: Convert to fraction form
    6,426.44/9,640.67 = 2,728.69/x
  3. Step 3: Cross multiply
    6,426.44x = 9,640.67 × 2,728.69
  4. Step 4: Simplify right side
    6,426.44x = 26,306,377.43
  5. Step 5: Solve for x
    x = 26,306,377.43/6,426.44
  6. Step 6: Final answer
    x = 4,093.46

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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.