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Finding the Fourth Proportional to 6,332.82, 9,503.31 and 3,413.16

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Solution

The fourth proportional to 6,332.82, 9,503.31 and 3,413.16 is: 5,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.82 : 9,503.31 = 3,413.16 : x
  2. Step 2: Convert to fraction form
    6,332.82/9,503.31 = 3,413.16/x
  3. Step 3: Cross multiply
    6,332.82x = 9,503.31 × 3,413.16
  4. Step 4: Simplify right side
    6,332.82x = 32,436,317.56
  5. Step 5: Solve for x
    x = 32,436,317.56/6,332.82
  6. Step 6: Final answer
    x = 5,121.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.