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Finding the Fourth Proportional to 27,864, 41,797.92 and 9,139.08

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Solution

The fourth proportional to 27,864, 41,797.92 and 9,139.08 is: 13,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 41,797.92 = 9,139.08 : x
  2. Step 2: Convert to fraction form
    27,864/41,797.92 = 9,139.08/x
  3. Step 3: Cross multiply
    27,864x = 41,797.92 × 9,139.08
  4. Step 4: Simplify right side
    27,864x = 381,994,534.71
  5. Step 5: Solve for x
    x = 381,994,534.71/27,864
  6. Step 6: Final answer
    x = 13,709.25

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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.