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Finding the Fourth Proportional to 6,822.06, 9,413.49 and 3,837.42

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Solution

The fourth proportional to 6,822.06, 9,413.49 and 3,837.42 is: 5,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.06 : 9,413.49 = 3,837.42 : x
  2. Step 2: Convert to fraction form
    6,822.06/9,413.49 = 3,837.42/x
  3. Step 3: Cross multiply
    6,822.06x = 9,413.49 × 3,837.42
  4. Step 4: Simplify right side
    6,822.06x = 36,123,514.80
  5. Step 5: Solve for x
    x = 36,123,514.80/6,822.06
  6. Step 6: Final answer
    x = 5,295.10

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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.