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Finding the Fourth Proportional to 9,201.29, 13,801.62 and 2,961.73

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Solution

The fourth proportional to 9,201.29, 13,801.62 and 2,961.73 is: 4,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.29 : 13,801.62 = 2,961.73 : x
  2. Step 2: Convert to fraction form
    9,201.29/13,801.62 = 2,961.73/x
  3. Step 3: Cross multiply
    9,201.29x = 13,801.62 × 2,961.73
  4. Step 4: Simplify right side
    9,201.29x = 40,876,672.00
  5. Step 5: Solve for x
    x = 40,876,672.00/9,201.29
  6. Step 6: Final answer
    x = 4,442.49

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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.