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Finding the Fourth Proportional to 7,201.22, 9,942.21 and 4,936.37

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Solution

The fourth proportional to 7,201.22, 9,942.21 and 4,936.37 is: 6,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.22 : 9,942.21 = 4,936.37 : x
  2. Step 2: Convert to fraction form
    7,201.22/9,942.21 = 4,936.37/x
  3. Step 3: Cross multiply
    7,201.22x = 9,942.21 × 4,936.37
  4. Step 4: Simplify right side
    7,201.22x = 49,078,377.47
  5. Step 5: Solve for x
    x = 49,078,377.47/7,201.22
  6. Step 6: Final answer
    x = 6,815.29

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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.