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Finding the Fourth Proportional to 6,413.12, 9,611.65 and 3,444.27

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Solution

The fourth proportional to 6,413.12, 9,611.65 and 3,444.27 is: 5,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.12 : 9,611.65 = 3,444.27 : x
  2. Step 2: Convert to fraction form
    6,413.12/9,611.65 = 3,444.27/x
  3. Step 3: Cross multiply
    6,413.12x = 9,611.65 × 3,444.27
  4. Step 4: Simplify right side
    6,413.12x = 33,105,073.09
  5. Step 5: Solve for x
    x = 33,105,073.09/6,413.12
  6. Step 6: Final answer
    x = 5,162.09

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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.