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Finding the Fourth Proportional to 6,166.24, 9,245.64 and 2,413.54

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Solution

The fourth proportional to 6,166.24, 9,245.64 and 2,413.54 is: 3,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.24 : 9,245.64 = 2,413.54 : x
  2. Step 2: Convert to fraction form
    6,166.24/9,245.64 = 2,413.54/x
  3. Step 3: Cross multiply
    6,166.24x = 9,245.64 × 2,413.54
  4. Step 4: Simplify right side
    6,166.24x = 22,314,742.57
  5. Step 5: Solve for x
    x = 22,314,742.57/6,166.24
  6. Step 6: Final answer
    x = 3,618.86

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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.