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Finding the Fourth Proportional to 9,286.97, 13,930.92 and 2,713.68

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Solution

The fourth proportional to 9,286.97, 13,930.92 and 2,713.68 is: 4,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.97 : 13,930.92 = 2,713.68 : x
  2. Step 2: Convert to fraction form
    9,286.97/13,930.92 = 2,713.68/x
  3. Step 3: Cross multiply
    9,286.97x = 13,930.92 × 2,713.68
  4. Step 4: Simplify right side
    9,286.97x = 37,804,058.99
  5. Step 5: Solve for x
    x = 37,804,058.99/9,286.97
  6. Step 6: Final answer
    x = 4,070.66

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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.