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Finding the Fourth Proportional to 7,227.14, 9,970.62 and 4,201.76

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Solution

The fourth proportional to 7,227.14, 9,970.62 and 4,201.76 is: 5,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.14 : 9,970.62 = 4,201.76 : x
  2. Step 2: Convert to fraction form
    7,227.14/9,970.62 = 4,201.76/x
  3. Step 3: Cross multiply
    7,227.14x = 9,970.62 × 4,201.76
  4. Step 4: Simplify right side
    7,227.14x = 41,894,102.44
  5. Step 5: Solve for x
    x = 41,894,102.44/7,227.14
  6. Step 6: Final answer
    x = 5,796.78

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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.