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Finding the Fourth Proportional to 9,722.69, 13,413.87 and 6,367.35

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Solution

The fourth proportional to 9,722.69, 13,413.87 and 6,367.35 is: 8,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.69 : 13,413.87 = 6,367.35 : x
  2. Step 2: Convert to fraction form
    9,722.69/13,413.87 = 6,367.35/x
  3. Step 3: Cross multiply
    9,722.69x = 13,413.87 × 6,367.35
  4. Step 4: Simplify right side
    9,722.69x = 85,410,805.14
  5. Step 5: Solve for x
    x = 85,410,805.14/9,722.69
  6. Step 6: Final answer
    x = 8,784.69

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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.