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Finding the Fourth Proportional to 27,737.28, 41,579.68 and 9,256

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Solution

The fourth proportional to 27,737.28, 41,579.68 and 9,256 is: 13,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.28 : 41,579.68 = 9,256 : x
  2. Step 2: Convert to fraction form
    27,737.28/41,579.68 = 9,256/x
  3. Step 3: Cross multiply
    27,737.28x = 41,579.68 × 9,256
  4. Step 4: Simplify right side
    27,737.28x = 384,861,518.08
  5. Step 5: Solve for x
    x = 384,861,518.08/27,737.28
  6. Step 6: Final answer
    x = 13,875.24

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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.