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Finding the Fourth Proportional to 9,201.93, 13,801.57 and 2,961.11

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Solution

The fourth proportional to 9,201.93, 13,801.57 and 2,961.11 is: 4,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.93 : 13,801.57 = 2,961.11 : x
  2. Step 2: Convert to fraction form
    9,201.93/13,801.57 = 2,961.11/x
  3. Step 3: Cross multiply
    9,201.93x = 13,801.57 × 2,961.11
  4. Step 4: Simplify right side
    9,201.93x = 40,867,966.94
  5. Step 5: Solve for x
    x = 40,867,966.94/9,201.93
  6. Step 6: Final answer
    x = 4,441.24

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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.