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Finding the Fourth Proportional to 9,227.49, 13,843.43 and 2,987.50

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Solution

The fourth proportional to 9,227.49, 13,843.43 and 2,987.50 is: 4,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.49 : 13,843.43 = 2,987.50 : x
  2. Step 2: Convert to fraction form
    9,227.49/13,843.43 = 2,987.50/x
  3. Step 3: Cross multiply
    9,227.49x = 13,843.43 × 2,987.50
  4. Step 4: Simplify right side
    9,227.49x = 41,357,232.19
  5. Step 5: Solve for x
    x = 41,357,232.19/9,227.49
  6. Step 6: Final answer
    x = 4,481.96

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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.