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Finding the Fourth Proportional to 27,858.94, 41,759.05 and 9,134.09

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Solution

The fourth proportional to 27,858.94, 41,759.05 and 9,134.09 is: 13,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.94 : 41,759.05 = 9,134.09 : x
  2. Step 2: Convert to fraction form
    27,858.94/41,759.05 = 9,134.09/x
  3. Step 3: Cross multiply
    27,858.94x = 41,759.05 × 9,134.09
  4. Step 4: Simplify right side
    27,858.94x = 381,430,921.01
  5. Step 5: Solve for x
    x = 381,430,921.01/27,858.94
  6. Step 6: Final answer
    x = 13,691.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.