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Finding the Fourth Proportional to 27,917.52, 41,867.27 and 9,193.10

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Solution

The fourth proportional to 27,917.52, 41,867.27 and 9,193.10 is: 13,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,917.52 : 41,867.27 = 9,193.10 : x
  2. Step 2: Convert to fraction form
    27,917.52/41,867.27 = 9,193.10/x
  3. Step 3: Cross multiply
    27,917.52x = 41,867.27 × 9,193.10
  4. Step 4: Simplify right side
    27,917.52x = 384,889,953.87
  5. Step 5: Solve for x
    x = 384,889,953.87/27,917.52
  6. Step 6: Final answer
    x = 13,786.68

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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.