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Finding the Fourth Proportional to 6,450.66, 9,676.46 and 2,232.17

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Solution

The fourth proportional to 6,450.66, 9,676.46 and 2,232.17 is: 3,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.66 : 9,676.46 = 2,232.17 : x
  2. Step 2: Convert to fraction form
    6,450.66/9,676.46 = 2,232.17/x
  3. Step 3: Cross multiply
    6,450.66x = 9,676.46 × 2,232.17
  4. Step 4: Simplify right side
    6,450.66x = 21,599,503.72
  5. Step 5: Solve for x
    x = 21,599,503.72/6,450.66
  6. Step 6: Final answer
    x = 3,348.42

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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.