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Finding the Fourth Proportional to 12,094.53, 16,691.34 and 6,789.66

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Solution

The fourth proportional to 12,094.53, 16,691.34 and 6,789.66 is: 9,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.53 : 16,691.34 = 6,789.66 : x
  2. Step 2: Convert to fraction form
    12,094.53/16,691.34 = 6,789.66/x
  3. Step 3: Cross multiply
    12,094.53x = 16,691.34 × 6,789.66
  4. Step 4: Simplify right side
    12,094.53x = 113,328,523.54
  5. Step 5: Solve for x
    x = 113,328,523.54/12,094.53
  6. Step 6: Final answer
    x = 9,370.23

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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.