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Finding the Fourth Proportional to 27,838.25, 41,763.86 and 9,370.25

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Solution

The fourth proportional to 27,838.25, 41,763.86 and 9,370.25 is: 14,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.25 : 41,763.86 = 9,370.25 : x
  2. Step 2: Convert to fraction form
    27,838.25/41,763.86 = 9,370.25/x
  3. Step 3: Cross multiply
    27,838.25x = 41,763.86 × 9,370.25
  4. Step 4: Simplify right side
    27,838.25x = 391,337,809.17
  5. Step 5: Solve for x
    x = 391,337,809.17/27,838.25
  6. Step 6: Final answer
    x = 14,057.56

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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.