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Finding the Fourth Proportional to 6,413.56, 9,598.62 and 3,949.96

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Solution

The fourth proportional to 6,413.56, 9,598.62 and 3,949.96 is: 5,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.56 : 9,598.62 = 3,949.96 : x
  2. Step 2: Convert to fraction form
    6,413.56/9,598.62 = 3,949.96/x
  3. Step 3: Cross multiply
    6,413.56x = 9,598.62 × 3,949.96
  4. Step 4: Simplify right side
    6,413.56x = 37,914,165.06
  5. Step 5: Solve for x
    x = 37,914,165.06/6,413.56
  6. Step 6: Final answer
    x = 5,911.56

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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.