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Finding the Fourth Proportional to 9,171.80, 13,757.54 and 2,246.36

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Solution

The fourth proportional to 9,171.80, 13,757.54 and 2,246.36 is: 3,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.80 : 13,757.54 = 2,246.36 : x
  2. Step 2: Convert to fraction form
    9,171.80/13,757.54 = 2,246.36/x
  3. Step 3: Cross multiply
    9,171.80x = 13,757.54 × 2,246.36
  4. Step 4: Simplify right side
    9,171.80x = 30,904,387.55
  5. Step 5: Solve for x
    x = 30,904,387.55/9,171.80
  6. Step 6: Final answer
    x = 3,369.50

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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.