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Finding the Fourth Proportional to 27,926, 41,896.56 and 9,458

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Solution

The fourth proportional to 27,926, 41,896.56 and 9,458 is: 14,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926 : 41,896.56 = 9,458 : x
  2. Step 2: Convert to fraction form
    27,926/41,896.56 = 9,458/x
  3. Step 3: Cross multiply
    27,926x = 41,896.56 × 9,458
  4. Step 4: Simplify right side
    27,926x = 396,257,664.48
  5. Step 5: Solve for x
    x = 396,257,664.48/27,926
  6. Step 6: Final answer
    x = 14,189.56

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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.