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Finding the Fourth Proportional to 9,336.43, 14,006.01 and 3,413.61

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Solution

The fourth proportional to 9,336.43, 14,006.01 and 3,413.61 is: 5,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.43 : 14,006.01 = 3,413.61 : x
  2. Step 2: Convert to fraction form
    9,336.43/14,006.01 = 3,413.61/x
  3. Step 3: Cross multiply
    9,336.43x = 14,006.01 × 3,413.61
  4. Step 4: Simplify right side
    9,336.43x = 47,811,055.80
  5. Step 5: Solve for x
    x = 47,811,055.80/9,336.43
  6. Step 6: Final answer
    x = 5,120.91

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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.