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Finding the Fourth Proportional to 27,940.75, 41,907.02 and 9,221.39

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Solution

The fourth proportional to 27,940.75, 41,907.02 and 9,221.39 is: 13,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.75 : 41,907.02 = 9,221.39 : x
  2. Step 2: Convert to fraction form
    27,940.75/41,907.02 = 9,221.39/x
  3. Step 3: Cross multiply
    27,940.75x = 41,907.02 × 9,221.39
  4. Step 4: Simplify right side
    27,940.75x = 386,441,164.26
  5. Step 5: Solve for x
    x = 386,441,164.26/27,940.75
  6. Step 6: Final answer
    x = 13,830.74

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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.