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Finding the Fourth Proportional to 9,163.50, 13,745.34 and 2,238

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Solution

The fourth proportional to 9,163.50, 13,745.34 and 2,238 is: 3,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.50 : 13,745.34 = 2,238 : x
  2. Step 2: Convert to fraction form
    9,163.50/13,745.34 = 2,238/x
  3. Step 3: Cross multiply
    9,163.50x = 13,745.34 × 2,238
  4. Step 4: Simplify right side
    9,163.50x = 30,762,070.92
  5. Step 5: Solve for x
    x = 30,762,070.92/9,163.50
  6. Step 6: Final answer
    x = 3,357.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.