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Finding the Fourth Proportional to 9,367.75, 14,044.79 and 5,413.43

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Solution

The fourth proportional to 9,367.75, 14,044.79 and 5,413.43 is: 8,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.75 : 14,044.79 = 5,413.43 : x
  2. Step 2: Convert to fraction form
    9,367.75/14,044.79 = 5,413.43/x
  3. Step 3: Cross multiply
    9,367.75x = 14,044.79 × 5,413.43
  4. Step 4: Simplify right side
    9,367.75x = 76,030,536.18
  5. Step 5: Solve for x
    x = 76,030,536.18/9,367.75
  6. Step 6: Final answer
    x = 8,116.20

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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.