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Finding the Fourth Proportional to 27,856.94, 41,756.06 and 9,132.09

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Solution

The fourth proportional to 27,856.94, 41,756.06 and 9,132.09 is: 13,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.94 : 41,756.06 = 9,132.09 : x
  2. Step 2: Convert to fraction form
    27,856.94/41,756.06 = 9,132.09/x
  3. Step 3: Cross multiply
    27,856.94x = 41,756.06 × 9,132.09
  4. Step 4: Simplify right side
    27,856.94x = 381,320,052.30
  5. Step 5: Solve for x
    x = 381,320,052.30/27,856.94
  6. Step 6: Final answer
    x = 13,688.51

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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.