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Finding the Fourth Proportional to 9,961.76, 13,745.22 and 5,983.04

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Solution

The fourth proportional to 9,961.76, 13,745.22 and 5,983.04 is: 8,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.76 : 13,745.22 = 5,983.04 : x
  2. Step 2: Convert to fraction form
    9,961.76/13,745.22 = 5,983.04/x
  3. Step 3: Cross multiply
    9,961.76x = 13,745.22 × 5,983.04
  4. Step 4: Simplify right side
    9,961.76x = 82,238,201.07
  5. Step 5: Solve for x
    x = 82,238,201.07/9,961.76
  6. Step 6: Final answer
    x = 8,255.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.