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Finding the Fourth Proportional to 6,211.86, 9,322.47 and 3,290.82

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Solution

The fourth proportional to 6,211.86, 9,322.47 and 3,290.82 is: 4,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.86 : 9,322.47 = 3,290.82 : x
  2. Step 2: Convert to fraction form
    6,211.86/9,322.47 = 3,290.82/x
  3. Step 3: Cross multiply
    6,211.86x = 9,322.47 × 3,290.82
  4. Step 4: Simplify right side
    6,211.86x = 30,678,570.73
  5. Step 5: Solve for x
    x = 30,678,570.73/6,211.86
  6. Step 6: Final answer
    x = 4,938.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.