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Finding the Fourth Proportional to 6,413.21, 9,617.99 and 4,069.67

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Solution

The fourth proportional to 6,413.21, 9,617.99 and 4,069.67 is: 6,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.21 : 9,617.99 = 4,069.67 : x
  2. Step 2: Convert to fraction form
    6,413.21/9,617.99 = 4,069.67/x
  3. Step 3: Cross multiply
    6,413.21x = 9,617.99 × 4,069.67
  4. Step 4: Simplify right side
    6,413.21x = 39,142,049.06
  5. Step 5: Solve for x
    x = 39,142,049.06/6,413.21
  6. Step 6: Final answer
    x = 6,103.35

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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.