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Finding the Fourth Proportional to 9,355.38, 12,910.44 and 5,163.63

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Solution

The fourth proportional to 9,355.38, 12,910.44 and 5,163.63 is: 7,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.38 : 12,910.44 = 5,163.63 : x
  2. Step 2: Convert to fraction form
    9,355.38/12,910.44 = 5,163.63/x
  3. Step 3: Cross multiply
    9,355.38x = 12,910.44 × 5,163.63
  4. Step 4: Simplify right side
    9,355.38x = 66,664,735.30
  5. Step 5: Solve for x
    x = 66,664,735.30/9,355.38
  6. Step 6: Final answer
    x = 7,125.82

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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.