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Finding the Fourth Proportional to 6,221.33, 9,332 and 4,267.61

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Solution

The fourth proportional to 6,221.33, 9,332 and 4,267.61 is: 6,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.33 : 9,332 = 4,267.61 : x
  2. Step 2: Convert to fraction form
    6,221.33/9,332 = 4,267.61/x
  3. Step 3: Cross multiply
    6,221.33x = 9,332 × 4,267.61
  4. Step 4: Simplify right side
    6,221.33x = 39,825,336.52
  5. Step 5: Solve for x
    x = 39,825,336.52/6,221.33
  6. Step 6: Final answer
    x = 6,401.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.