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Finding the Fourth Proportional to 27,953.32, 41,934.30 and 9,481

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Solution

The fourth proportional to 27,953.32, 41,934.30 and 9,481 is: 14,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953.32 : 41,934.30 = 9,481 : x
  2. Step 2: Convert to fraction form
    27,953.32/41,934.30 = 9,481/x
  3. Step 3: Cross multiply
    27,953.32x = 41,934.30 × 9,481
  4. Step 4: Simplify right side
    27,953.32x = 397,579,098.30
  5. Step 5: Solve for x
    x = 397,579,098.30/27,953.32
  6. Step 6: Final answer
    x = 14,222.97

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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.