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Finding the Fourth Proportional to 8,414.64, 11,604.33 and 6,650.46

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Solution

The fourth proportional to 8,414.64, 11,604.33 and 6,650.46 is: 9,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.64 : 11,604.33 = 6,650.46 : x
  2. Step 2: Convert to fraction form
    8,414.64/11,604.33 = 6,650.46/x
  3. Step 3: Cross multiply
    8,414.64x = 11,604.33 × 6,650.46
  4. Step 4: Simplify right side
    8,414.64x = 77,174,132.49
  5. Step 5: Solve for x
    x = 77,174,132.49/8,414.64
  6. Step 6: Final answer
    x = 9,171.41

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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.