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Finding the Fourth Proportional to 7,204.72, 9,942.78 and 4,061.20

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Solution

The fourth proportional to 7,204.72, 9,942.78 and 4,061.20 is: 5,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.72 : 9,942.78 = 4,061.20 : x
  2. Step 2: Convert to fraction form
    7,204.72/9,942.78 = 4,061.20/x
  3. Step 3: Cross multiply
    7,204.72x = 9,942.78 × 4,061.20
  4. Step 4: Simplify right side
    7,204.72x = 40,379,618.14
  5. Step 5: Solve for x
    x = 40,379,618.14/7,204.72
  6. Step 6: Final answer
    x = 5,604.61

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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.