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Finding the Fourth Proportional to 9,163.56, 13,745.28 and 2,238

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Solution

The fourth proportional to 9,163.56, 13,745.28 and 2,238 is: 3,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.56 : 13,745.28 = 2,238 : x
  2. Step 2: Convert to fraction form
    9,163.56/13,745.28 = 2,238/x
  3. Step 3: Cross multiply
    9,163.56x = 13,745.28 × 2,238
  4. Step 4: Simplify right side
    9,163.56x = 30,761,936.64
  5. Step 5: Solve for x
    x = 30,761,936.64/9,163.56
  6. Step 6: Final answer
    x = 3,356.99

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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.