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Finding the Fourth Proportional to 6,611.73, 9,124 and 3,922.93

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Solution

The fourth proportional to 6,611.73, 9,124 and 3,922.93 is: 5,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.73 : 9,124 = 3,922.93 : x
  2. Step 2: Convert to fraction form
    6,611.73/9,124 = 3,922.93/x
  3. Step 3: Cross multiply
    6,611.73x = 9,124 × 3,922.93
  4. Step 4: Simplify right side
    6,611.73x = 35,792,813.32
  5. Step 5: Solve for x
    x = 35,792,813.32/6,611.73
  6. Step 6: Final answer
    x = 5,413.53

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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.