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Finding the Fourth Proportional to 27,864.34, 41,795.04 and 9,141.91

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Solution

The fourth proportional to 27,864.34, 41,795.04 and 9,141.91 is: 13,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.34 : 41,795.04 = 9,141.91 : x
  2. Step 2: Convert to fraction form
    27,864.34/41,795.04 = 9,141.91/x
  3. Step 3: Cross multiply
    27,864.34x = 41,795.04 × 9,141.91
  4. Step 4: Simplify right side
    27,864.34x = 382,086,494.13
  5. Step 5: Solve for x
    x = 382,086,494.13/27,864.34
  6. Step 6: Final answer
    x = 13,712.38

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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.