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Finding the Fourth Proportional to 27,971.57, 41,947.35 and 9,248.15

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Solution

The fourth proportional to 27,971.57, 41,947.35 and 9,248.15 is: 13,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.57 : 41,947.35 = 9,248.15 : x
  2. Step 2: Convert to fraction form
    27,971.57/41,947.35 = 9,248.15/x
  3. Step 3: Cross multiply
    27,971.57x = 41,947.35 × 9,248.15
  4. Step 4: Simplify right side
    27,971.57x = 387,935,175.17
  5. Step 5: Solve for x
    x = 387,935,175.17/27,971.57
  6. Step 6: Final answer
    x = 13,868.91

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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.