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Finding the Fourth Proportional to 12,940.17, 19,414.81 and 6,370.97

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Solution

The fourth proportional to 12,940.17, 19,414.81 and 6,370.97 is: 9,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.17 : 19,414.81 = 6,370.97 : x
  2. Step 2: Convert to fraction form
    12,940.17/19,414.81 = 6,370.97/x
  3. Step 3: Cross multiply
    12,940.17x = 19,414.81 × 6,370.97
  4. Step 4: Simplify right side
    12,940.17x = 123,691,210.08
  5. Step 5: Solve for x
    x = 123,691,210.08/12,940.17
  6. Step 6: Final answer
    x = 9,558.70

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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.