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Finding the Fourth Proportional to 27,911.71, 41,872.26 and 9,197.14

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Solution

The fourth proportional to 27,911.71, 41,872.26 and 9,197.14 is: 13,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.71 : 41,872.26 = 9,197.14 : x
  2. Step 2: Convert to fraction form
    27,911.71/41,872.26 = 9,197.14/x
  3. Step 3: Cross multiply
    27,911.71x = 41,872.26 × 9,197.14
  4. Step 4: Simplify right side
    27,911.71x = 385,105,037.34
  5. Step 5: Solve for x
    x = 385,105,037.34/27,911.71
  6. Step 6: Final answer
    x = 13,797.26

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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.