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Finding the Fourth Proportional to 7,061.27, 9,744.73 and 3,874.70

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Solution

The fourth proportional to 7,061.27, 9,744.73 and 3,874.70 is: 5,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.27 : 9,744.73 = 3,874.70 : x
  2. Step 2: Convert to fraction form
    7,061.27/9,744.73 = 3,874.70/x
  3. Step 3: Cross multiply
    7,061.27x = 9,744.73 × 3,874.70
  4. Step 4: Simplify right side
    7,061.27x = 37,757,905.33
  5. Step 5: Solve for x
    x = 37,757,905.33/7,061.27
  6. Step 6: Final answer
    x = 5,347.19

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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.