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Finding the Fourth Proportional to 9,204.98, 12,698.52 and 6,221.85

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Solution

The fourth proportional to 9,204.98, 12,698.52 and 6,221.85 is: 8,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.98 : 12,698.52 = 6,221.85 : x
  2. Step 2: Convert to fraction form
    9,204.98/12,698.52 = 6,221.85/x
  3. Step 3: Cross multiply
    9,204.98x = 12,698.52 × 6,221.85
  4. Step 4: Simplify right side
    9,204.98x = 79,008,286.66
  5. Step 5: Solve for x
    x = 79,008,286.66/9,204.98
  6. Step 6: Final answer
    x = 8,583.22

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