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Finding the Fourth Proportional to 6,336.22, 8,743.76 and 3,503.42

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Solution

The fourth proportional to 6,336.22, 8,743.76 and 3,503.42 is: 4,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.22 : 8,743.76 = 3,503.42 : x
  2. Step 2: Convert to fraction form
    6,336.22/8,743.76 = 3,503.42/x
  3. Step 3: Cross multiply
    6,336.22x = 8,743.76 × 3,503.42
  4. Step 4: Simplify right side
    6,336.22x = 30,633,063.66
  5. Step 5: Solve for x
    x = 30,633,063.66/6,336.22
  6. Step 6: Final answer
    x = 4,834.60

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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.