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Finding the Fourth Proportional to 9,163.80, 13,745.70 and 5,883.30

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Solution

The fourth proportional to 9,163.80, 13,745.70 and 5,883.30 is: 8,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.80 : 13,745.70 = 5,883.30 : x
  2. Step 2: Convert to fraction form
    9,163.80/13,745.70 = 5,883.30/x
  3. Step 3: Cross multiply
    9,163.80x = 13,745.70 × 5,883.30
  4. Step 4: Simplify right side
    9,163.80x = 80,870,076.81
  5. Step 5: Solve for x
    x = 80,870,076.81/9,163.80
  6. Step 6: Final answer
    x = 8,824.95

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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.