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Finding the Fourth Proportional to 9,163.20, 13,737.08 and 6,381.66

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Solution

The fourth proportional to 9,163.20, 13,737.08 and 6,381.66 is: 9,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.20 : 13,737.08 = 6,381.66 : x
  2. Step 2: Convert to fraction form
    9,163.20/13,737.08 = 6,381.66/x
  3. Step 3: Cross multiply
    9,163.20x = 13,737.08 × 6,381.66
  4. Step 4: Simplify right side
    9,163.20x = 87,665,373.95
  5. Step 5: Solve for x
    x = 87,665,373.95/9,163.20
  6. Step 6: Final answer
    x = 9,567.11

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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.