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Finding the Fourth Proportional to 9,727.67, 13,408.04 and 6,891.41

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Solution

The fourth proportional to 9,727.67, 13,408.04 and 6,891.41 is: 9,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.67 : 13,408.04 = 6,891.41 : x
  2. Step 2: Convert to fraction form
    9,727.67/13,408.04 = 6,891.41/x
  3. Step 3: Cross multiply
    9,727.67x = 13,408.04 × 6,891.41
  4. Step 4: Simplify right side
    9,727.67x = 92,400,300.94
  5. Step 5: Solve for x
    x = 92,400,300.94/9,727.67
  6. Step 6: Final answer
    x = 9,498.71

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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.