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Finding the Fourth Proportional to 6,821.45, 9,410.69 and 3,909.47

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Solution

The fourth proportional to 6,821.45, 9,410.69 and 3,909.47 is: 5,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.45 : 9,410.69 = 3,909.47 : x
  2. Step 2: Convert to fraction form
    6,821.45/9,410.69 = 3,909.47/x
  3. Step 3: Cross multiply
    6,821.45x = 9,410.69 × 3,909.47
  4. Step 4: Simplify right side
    6,821.45x = 36,790,772.95
  5. Step 5: Solve for x
    x = 36,790,772.95/6,821.45
  6. Step 6: Final answer
    x = 5,393.39

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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.