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Finding the Fourth Proportional to 27,932.47, 41,889.82 and 9,209.02

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Solution

The fourth proportional to 27,932.47, 41,889.82 and 9,209.02 is: 13,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,932.47 : 41,889.82 = 9,209.02 : x
  2. Step 2: Convert to fraction form
    27,932.47/41,889.82 = 9,209.02/x
  3. Step 3: Cross multiply
    27,932.47x = 41,889.82 × 9,209.02
  4. Step 4: Simplify right side
    27,932.47x = 385,764,190.18
  5. Step 5: Solve for x
    x = 385,764,190.18/27,932.47
  6. Step 6: Final answer
    x = 13,810.60

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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.