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Finding the Fourth Proportional to 7,205.23, 9,943.05 and 4,061.44

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Solution

The fourth proportional to 7,205.23, 9,943.05 and 4,061.44 is: 5,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.23 : 9,943.05 = 4,061.44 : x
  2. Step 2: Convert to fraction form
    7,205.23/9,943.05 = 4,061.44/x
  3. Step 3: Cross multiply
    7,205.23x = 9,943.05 × 4,061.44
  4. Step 4: Simplify right side
    7,205.23x = 40,383,100.99
  5. Step 5: Solve for x
    x = 40,383,100.99/7,205.23
  6. Step 6: Final answer
    x = 5,604.69

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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.