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Finding the Fourth Proportional to 6,823.44, 9,413.44 and 3,911.46

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Solution

The fourth proportional to 6,823.44, 9,413.44 and 3,911.46 is: 5,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.44 : 9,413.44 = 3,911.46 : x
  2. Step 2: Convert to fraction form
    6,823.44/9,413.44 = 3,911.46/x
  3. Step 3: Cross multiply
    6,823.44x = 9,413.44 × 3,911.46
  4. Step 4: Simplify right side
    6,823.44x = 36,820,294.02
  5. Step 5: Solve for x
    x = 36,820,294.02/6,823.44
  6. Step 6: Final answer
    x = 5,396.15

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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.