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Finding the Fourth Proportional to 11,884.40, 17,846.04 and 9,279.44

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Solution

The fourth proportional to 11,884.40, 17,846.04 and 9,279.44 is: 13,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.40 : 17,846.04 = 9,279.44 : x
  2. Step 2: Convert to fraction form
    11,884.40/17,846.04 = 9,279.44/x
  3. Step 3: Cross multiply
    11,884.40x = 17,846.04 × 9,279.44
  4. Step 4: Simplify right side
    11,884.40x = 165,601,257.42
  5. Step 5: Solve for x
    x = 165,601,257.42/11,884.40
  6. Step 6: Final answer
    x = 13,934.34

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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.