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Finding the Fourth Proportional to 6,690.14, 9,211.77 and 5,942.80

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Solution

The fourth proportional to 6,690.14, 9,211.77 and 5,942.80 is: 8,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.14 : 9,211.77 = 5,942.80 : x
  2. Step 2: Convert to fraction form
    6,690.14/9,211.77 = 5,942.80/x
  3. Step 3: Cross multiply
    6,690.14x = 9,211.77 × 5,942.80
  4. Step 4: Simplify right side
    6,690.14x = 54,743,683.73
  5. Step 5: Solve for x
    x = 54,743,683.73/6,690.14
  6. Step 6: Final answer
    x = 8,182.75

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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.