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Finding the Fourth Proportional to 6,413.67, 9,622.85 and 3,294.45

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Solution

The fourth proportional to 6,413.67, 9,622.85 and 3,294.45 is: 4,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.67 : 9,622.85 = 3,294.45 : x
  2. Step 2: Convert to fraction form
    6,413.67/9,622.85 = 3,294.45/x
  3. Step 3: Cross multiply
    6,413.67x = 9,622.85 × 3,294.45
  4. Step 4: Simplify right side
    6,413.67x = 31,701,981.71
  5. Step 5: Solve for x
    x = 31,701,981.71/6,413.67
  6. Step 6: Final answer
    x = 4,942.88

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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.