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Finding the Fourth Proportional to 12,267.25, 16,927.25 and 6,961.95

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Solution

The fourth proportional to 12,267.25, 16,927.25 and 6,961.95 is: 9,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.25 : 16,927.25 = 6,961.95 : x
  2. Step 2: Convert to fraction form
    12,267.25/16,927.25 = 6,961.95/x
  3. Step 3: Cross multiply
    12,267.25x = 16,927.25 × 6,961.95
  4. Step 4: Simplify right side
    12,267.25x = 117,846,633.33
  5. Step 5: Solve for x
    x = 117,846,633.33/12,267.25
  6. Step 6: Final answer
    x = 9,606.61

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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.