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Finding the Fourth Proportional to 7,223.01, 9,968.97 and 4,197.66

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Solution

The fourth proportional to 7,223.01, 9,968.97 and 4,197.66 is: 5,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.01 : 9,968.97 = 4,197.66 : x
  2. Step 2: Convert to fraction form
    7,223.01/9,968.97 = 4,197.66/x
  3. Step 3: Cross multiply
    7,223.01x = 9,968.97 × 4,197.66
  4. Step 4: Simplify right side
    7,223.01x = 41,846,324.97
  5. Step 5: Solve for x
    x = 41,846,324.97/7,223.01
  6. Step 6: Final answer
    x = 5,793.48

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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.