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Finding the Fourth Proportional to 6,396.34, 8,826.36 and 3,563.44

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Solution

The fourth proportional to 6,396.34, 8,826.36 and 3,563.44 is: 4,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.34 : 8,826.36 = 3,563.44 : x
  2. Step 2: Convert to fraction form
    6,396.34/8,826.36 = 3,563.44/x
  3. Step 3: Cross multiply
    6,396.34x = 8,826.36 × 3,563.44
  4. Step 4: Simplify right side
    6,396.34x = 31,452,204.28
  5. Step 5: Solve for x
    x = 31,452,204.28/6,396.34
  6. Step 6: Final answer
    x = 4,917.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.