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Finding the Fourth Proportional to 27,959.32, 41,943.30 and 9,487

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Solution

The fourth proportional to 27,959.32, 41,943.30 and 9,487 is: 14,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.32 : 41,943.30 = 9,487 : x
  2. Step 2: Convert to fraction form
    27,959.32/41,943.30 = 9,487/x
  3. Step 3: Cross multiply
    27,959.32x = 41,943.30 × 9,487
  4. Step 4: Simplify right side
    27,959.32x = 397,916,087.10
  5. Step 5: Solve for x
    x = 397,916,087.10/27,959.32
  6. Step 6: Final answer
    x = 14,231.97

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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.