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Finding the Fourth Proportional to 6,661.98, 9,194.31 and 5,540.94

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Solution

The fourth proportional to 6,661.98, 9,194.31 and 5,540.94 is: 7,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.98 : 9,194.31 = 5,540.94 : x
  2. Step 2: Convert to fraction form
    6,661.98/9,194.31 = 5,540.94/x
  3. Step 3: Cross multiply
    6,661.98x = 9,194.31 × 5,540.94
  4. Step 4: Simplify right side
    6,661.98x = 50,945,120.05
  5. Step 5: Solve for x
    x = 50,945,120.05/6,661.98
  6. Step 6: Final answer
    x = 7,647.14

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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.