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Finding the Fourth Proportional to 6,200.85, 9,304.44 and 4,122.27

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Solution

The fourth proportional to 6,200.85, 9,304.44 and 4,122.27 is: 6,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.85 : 9,304.44 = 4,122.27 : x
  2. Step 2: Convert to fraction form
    6,200.85/9,304.44 = 4,122.27/x
  3. Step 3: Cross multiply
    6,200.85x = 9,304.44 × 4,122.27
  4. Step 4: Simplify right side
    6,200.85x = 38,355,413.88
  5. Step 5: Solve for x
    x = 38,355,413.88/6,200.85
  6. Step 6: Final answer
    x = 6,185.51

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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.