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Finding the Fourth Proportional to 7,243.74, 9,997.83 and 4,100.94

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Solution

The fourth proportional to 7,243.74, 9,997.83 and 4,100.94 is: 5,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.74 : 9,997.83 = 4,100.94 : x
  2. Step 2: Convert to fraction form
    7,243.74/9,997.83 = 4,100.94/x
  3. Step 3: Cross multiply
    7,243.74x = 9,997.83 × 4,100.94
  4. Step 4: Simplify right side
    7,243.74x = 41,000,500.96
  5. Step 5: Solve for x
    x = 41,000,500.96/7,243.74
  6. Step 6: Final answer
    x = 5,660.13

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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.