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Finding the Fourth Proportional to 6,413.06, 8,850.34 and 3,618.50

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Solution

The fourth proportional to 6,413.06, 8,850.34 and 3,618.50 is: 4,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.06 : 8,850.34 = 3,618.50 : x
  2. Step 2: Convert to fraction form
    6,413.06/8,850.34 = 3,618.50/x
  3. Step 3: Cross multiply
    6,413.06x = 8,850.34 × 3,618.50
  4. Step 4: Simplify right side
    6,413.06x = 32,024,955.29
  5. Step 5: Solve for x
    x = 32,024,955.29/6,413.06
  6. Step 6: Final answer
    x = 4,993.71

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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.