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Finding the Fourth Proportional to 27,813.56, 41,729.65 and 9,094.46

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Solution

The fourth proportional to 27,813.56, 41,729.65 and 9,094.46 is: 13,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.56 : 41,729.65 = 9,094.46 : x
  2. Step 2: Convert to fraction form
    27,813.56/41,729.65 = 9,094.46/x
  3. Step 3: Cross multiply
    27,813.56x = 41,729.65 × 9,094.46
  4. Step 4: Simplify right side
    27,813.56x = 379,508,401.35
  5. Step 5: Solve for x
    x = 379,508,401.35/27,813.56
  6. Step 6: Final answer
    x = 13,644.73

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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.