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Finding the Fourth Proportional to 27,916.29, 41,865.43 and 9,191.87

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Solution

The fourth proportional to 27,916.29, 41,865.43 and 9,191.87 is: 13,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,916.29 : 41,865.43 = 9,191.87 : x
  2. Step 2: Convert to fraction form
    27,916.29/41,865.43 = 9,191.87/x
  3. Step 3: Cross multiply
    27,916.29x = 41,865.43 × 9,191.87
  4. Step 4: Simplify right side
    27,916.29x = 384,821,380.73
  5. Step 5: Solve for x
    x = 384,821,380.73/27,916.29
  6. Step 6: Final answer
    x = 13,784.83

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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.