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Finding the Fourth Proportional to 6,426.68, 9,638.33 and 2,727

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Solution

The fourth proportional to 6,426.68, 9,638.33 and 2,727 is: 4,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.68 : 9,638.33 = 2,727 : x
  2. Step 2: Convert to fraction form
    6,426.68/9,638.33 = 2,727/x
  3. Step 3: Cross multiply
    6,426.68x = 9,638.33 × 2,727
  4. Step 4: Simplify right side
    6,426.68x = 26,283,712.28
  5. Step 5: Solve for x
    x = 26,283,712.28/6,426.68
  6. Step 6: Final answer
    x = 4,089.78

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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.