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Finding the Fourth Proportional to 9,201.95, 13,801.56 and 2,961.14

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Solution

The fourth proportional to 9,201.95, 13,801.56 and 2,961.14 is: 4,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.95 : 13,801.56 = 2,961.14 : x
  2. Step 2: Convert to fraction form
    9,201.95/13,801.56 = 2,961.14/x
  3. Step 3: Cross multiply
    9,201.95x = 13,801.56 × 2,961.14
  4. Step 4: Simplify right side
    9,201.95x = 40,868,348.90
  5. Step 5: Solve for x
    x = 40,868,348.90/9,201.95
  6. Step 6: Final answer
    x = 4,441.27

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