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Finding the Fourth Proportional to 6,736.73, 9,296.22 and 4,218.73

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Solution

The fourth proportional to 6,736.73, 9,296.22 and 4,218.73 is: 5,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.73 : 9,296.22 = 4,218.73 : x
  2. Step 2: Convert to fraction form
    6,736.73/9,296.22 = 4,218.73/x
  3. Step 3: Cross multiply
    6,736.73x = 9,296.22 × 4,218.73
  4. Step 4: Simplify right side
    6,736.73x = 39,218,242.20
  5. Step 5: Solve for x
    x = 39,218,242.20/6,736.73
  6. Step 6: Final answer
    x = 5,821.55

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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.