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Finding the Fourth Proportional to 9,834.53, 13,540.30 and 9,163.85

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Solution

The fourth proportional to 9,834.53, 13,540.30 and 9,163.85 is: 12,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.53 : 13,540.30 = 9,163.85 : x
  2. Step 2: Convert to fraction form
    9,834.53/13,540.30 = 9,163.85/x
  3. Step 3: Cross multiply
    9,834.53x = 13,540.30 × 9,163.85
  4. Step 4: Simplify right side
    9,834.53x = 124,081,187.54
  5. Step 5: Solve for x
    x = 124,081,187.54/9,834.53
  6. Step 6: Final answer
    x = 12,616.90

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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.