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Finding the Fourth Proportional to 9,163.64, 13,745.46 and 5,265.56

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Solution

The fourth proportional to 9,163.64, 13,745.46 and 5,265.56 is: 7,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.64 : 13,745.46 = 5,265.56 : x
  2. Step 2: Convert to fraction form
    9,163.64/13,745.46 = 5,265.56/x
  3. Step 3: Cross multiply
    9,163.64x = 13,745.46 × 5,265.56
  4. Step 4: Simplify right side
    9,163.64x = 72,377,544.36
  5. Step 5: Solve for x
    x = 72,377,544.36/9,163.64
  6. Step 6: Final answer
    x = 7,898.34

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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.