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Finding the Fourth Proportional to 12,069.77, 18,093.31 and 6,514.79

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Solution

The fourth proportional to 12,069.77, 18,093.31 and 6,514.79 is: 9,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.77 : 18,093.31 = 6,514.79 : x
  2. Step 2: Convert to fraction form
    12,069.77/18,093.31 = 6,514.79/x
  3. Step 3: Cross multiply
    12,069.77x = 18,093.31 × 6,514.79
  4. Step 4: Simplify right side
    12,069.77x = 117,874,115.05
  5. Step 5: Solve for x
    x = 117,874,115.05/12,069.77
  6. Step 6: Final answer
    x = 9,766.06

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