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Finding the Fourth Proportional to 6,213.36, 8,574.22 and 3,418.84

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Solution

The fourth proportional to 6,213.36, 8,574.22 and 3,418.84 is: 4,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.36 : 8,574.22 = 3,418.84 : x
  2. Step 2: Convert to fraction form
    6,213.36/8,574.22 = 3,418.84/x
  3. Step 3: Cross multiply
    6,213.36x = 8,574.22 × 3,418.84
  4. Step 4: Simplify right side
    6,213.36x = 29,313,886.30
  5. Step 5: Solve for x
    x = 29,313,886.30/6,213.36
  6. Step 6: Final answer
    x = 4,717.88

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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.