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Finding the Fourth Proportional to 7,202.80, 9,940.25 and 4,218.86

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Solution

The fourth proportional to 7,202.80, 9,940.25 and 4,218.86 is: 5,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.80 : 9,940.25 = 4,218.86 : x
  2. Step 2: Convert to fraction form
    7,202.80/9,940.25 = 4,218.86/x
  3. Step 3: Cross multiply
    7,202.80x = 9,940.25 × 4,218.86
  4. Step 4: Simplify right side
    7,202.80x = 41,936,523.12
  5. Step 5: Solve for x
    x = 41,936,523.12/7,202.80
  6. Step 6: Final answer
    x = 5,822.25

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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.