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Finding the Fourth Proportional to 27,862.96, 41,765.04 and 9,138.10

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Solution

The fourth proportional to 27,862.96, 41,765.04 and 9,138.10 is: 13,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.96 : 41,765.04 = 9,138.10 : x
  2. Step 2: Convert to fraction form
    27,862.96/41,765.04 = 9,138.10/x
  3. Step 3: Cross multiply
    27,862.96x = 41,765.04 × 9,138.10
  4. Step 4: Simplify right side
    27,862.96x = 381,653,112.02
  5. Step 5: Solve for x
    x = 381,653,112.02/27,862.96
  6. Step 6: Final answer
    x = 13,697.51

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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.