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Finding the Fourth Proportional to 12,414.41, 17,131.66 and 6,749.27

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Solution

The fourth proportional to 12,414.41, 17,131.66 and 6,749.27 is: 9,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.41 : 17,131.66 = 6,749.27 : x
  2. Step 2: Convert to fraction form
    12,414.41/17,131.66 = 6,749.27/x
  3. Step 3: Cross multiply
    12,414.41x = 17,131.66 × 6,749.27
  4. Step 4: Simplify right side
    12,414.41x = 115,626,096.36
  5. Step 5: Solve for x
    x = 115,626,096.36/12,414.41
  6. Step 6: Final answer
    x = 9,313.87

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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.