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Finding the Fourth Proportional to 6,096.42, 8,413.68 and 4,396.33

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Solution

The fourth proportional to 6,096.42, 8,413.68 and 4,396.33 is: 6,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.42 : 8,413.68 = 4,396.33 : x
  2. Step 2: Convert to fraction form
    6,096.42/8,413.68 = 4,396.33/x
  3. Step 3: Cross multiply
    6,096.42x = 8,413.68 × 4,396.33
  4. Step 4: Simplify right side
    6,096.42x = 36,989,309.25
  5. Step 5: Solve for x
    x = 36,989,309.25/6,096.42
  6. Step 6: Final answer
    x = 6,067.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.