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Finding the Fourth Proportional to 9,481.41, 14,222.79 and 2,912.22

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Solution

The fourth proportional to 9,481.41, 14,222.79 and 2,912.22 is: 4,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.41 : 14,222.79 = 2,912.22 : x
  2. Step 2: Convert to fraction form
    9,481.41/14,222.79 = 2,912.22/x
  3. Step 3: Cross multiply
    9,481.41x = 14,222.79 × 2,912.22
  4. Step 4: Simplify right side
    9,481.41x = 41,419,893.49
  5. Step 5: Solve for x
    x = 41,419,893.49/9,481.41
  6. Step 6: Final answer
    x = 4,368.54

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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.