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Finding the Fourth Proportional to 7,226.26, 9,972.24 and 3,914.26

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Solution

The fourth proportional to 7,226.26, 9,972.24 and 3,914.26 is: 5,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.26 : 9,972.24 = 3,914.26 : x
  2. Step 2: Convert to fraction form
    7,226.26/9,972.24 = 3,914.26/x
  3. Step 3: Cross multiply
    7,226.26x = 9,972.24 × 3,914.26
  4. Step 4: Simplify right side
    7,226.26x = 39,033,940.14
  5. Step 5: Solve for x
    x = 39,033,940.14/7,226.26
  6. Step 6: Final answer
    x = 5,401.68

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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.