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Finding the Fourth Proportional to 6,172.36, 8,517.86 and 3,377.84

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Solution

The fourth proportional to 6,172.36, 8,517.86 and 3,377.84 is: 4,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.36 : 8,517.86 = 3,377.84 : x
  2. Step 2: Convert to fraction form
    6,172.36/8,517.86 = 3,377.84/x
  3. Step 3: Cross multiply
    6,172.36x = 8,517.86 × 3,377.84
  4. Step 4: Simplify right side
    6,172.36x = 28,771,968.22
  5. Step 5: Solve for x
    x = 28,771,968.22/6,172.36
  6. Step 6: Final answer
    x = 4,661.42

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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.