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Finding the Fourth Proportional to 6,604.27, 9,116.82 and 4,217.37

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Solution

The fourth proportional to 6,604.27, 9,116.82 and 4,217.37 is: 5,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.27 : 9,116.82 = 4,217.37 : x
  2. Step 2: Convert to fraction form
    6,604.27/9,116.82 = 4,217.37/x
  3. Step 3: Cross multiply
    6,604.27x = 9,116.82 × 4,217.37
  4. Step 4: Simplify right side
    6,604.27x = 38,448,968.98
  5. Step 5: Solve for x
    x = 38,448,968.98/6,604.27
  6. Step 6: Final answer
    x = 5,821.84

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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.