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Finding the Fourth Proportional to 9,919.80, 13,684.62 and 5,940.18

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Solution

The fourth proportional to 9,919.80, 13,684.62 and 5,940.18 is: 8,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.80 : 13,684.62 = 5,940.18 : x
  2. Step 2: Convert to fraction form
    9,919.80/13,684.62 = 5,940.18/x
  3. Step 3: Cross multiply
    9,919.80x = 13,684.62 × 5,940.18
  4. Step 4: Simplify right side
    9,919.80x = 81,289,106.03
  5. Step 5: Solve for x
    x = 81,289,106.03/9,919.80
  6. Step 6: Final answer
    x = 8,194.63

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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.