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Finding the Fourth Proportional to 6,426.40, 9,641.28 and 2,728.78

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Solution

The fourth proportional to 6,426.40, 9,641.28 and 2,728.78 is: 4,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.40 : 9,641.28 = 2,728.78 : x
  2. Step 2: Convert to fraction form
    6,426.40/9,641.28 = 2,728.78/x
  3. Step 3: Cross multiply
    6,426.40x = 9,641.28 × 2,728.78
  4. Step 4: Simplify right side
    6,426.40x = 26,308,932.04
  5. Step 5: Solve for x
    x = 26,308,932.04/6,426.40
  6. Step 6: Final answer
    x = 4,093.88

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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.