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Finding the Fourth Proportional to 9,481.45, 14,222.14 and 2,906.80

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Solution

The fourth proportional to 9,481.45, 14,222.14 and 2,906.80 is: 4,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.45 : 14,222.14 = 2,906.80 : x
  2. Step 2: Convert to fraction form
    9,481.45/14,222.14 = 2,906.80/x
  3. Step 3: Cross multiply
    9,481.45x = 14,222.14 × 2,906.80
  4. Step 4: Simplify right side
    9,481.45x = 41,340,916.55
  5. Step 5: Solve for x
    x = 41,340,916.55/9,481.45
  6. Step 6: Final answer
    x = 4,360.19

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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.