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Finding the Fourth Proportional to 12,274.36, 16,937.97 and 6,896.09

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Solution

The fourth proportional to 12,274.36, 16,937.97 and 6,896.09 is: 9,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.36 : 16,937.97 = 6,896.09 : x
  2. Step 2: Convert to fraction form
    12,274.36/16,937.97 = 6,896.09/x
  3. Step 3: Cross multiply
    12,274.36x = 16,937.97 × 6,896.09
  4. Step 4: Simplify right side
    12,274.36x = 116,805,765.54
  5. Step 5: Solve for x
    x = 116,805,765.54/12,274.36
  6. Step 6: Final answer
    x = 9,516.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.