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Finding the Fourth Proportional to 9,834.40, 13,540.12 and 9,163.72

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Solution

The fourth proportional to 9,834.40, 13,540.12 and 9,163.72 is: 12,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.40 : 13,540.12 = 9,163.72 : x
  2. Step 2: Convert to fraction form
    9,834.40/13,540.12 = 9,163.72/x
  3. Step 3: Cross multiply
    9,834.40x = 13,540.12 × 9,163.72
  4. Step 4: Simplify right side
    9,834.40x = 124,077,868.45
  5. Step 5: Solve for x
    x = 124,077,868.45/9,834.40
  6. Step 6: Final answer
    x = 12,616.72

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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.