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Finding the Fourth Proportional to 27,937.52, 41,912.46 and 9,223.34

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Solution

The fourth proportional to 27,937.52, 41,912.46 and 9,223.34 is: 13,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.52 : 41,912.46 = 9,223.34 : x
  2. Step 2: Convert to fraction form
    27,937.52/41,912.46 = 9,223.34/x
  3. Step 3: Cross multiply
    27,937.52x = 41,912.46 × 9,223.34
  4. Step 4: Simplify right side
    27,937.52x = 386,572,868.82
  5. Step 5: Solve for x
    x = 386,572,868.82/27,937.52
  6. Step 6: Final answer
    x = 13,837.05

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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.