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Finding the Fourth Proportional to 36,844.96, 55,267.44 and 9,142.96

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Solution

The fourth proportional to 36,844.96, 55,267.44 and 9,142.96 is: 13,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844.96 : 55,267.44 = 9,142.96 : x
  2. Step 2: Convert to fraction form
    36,844.96/55,267.44 = 9,142.96/x
  3. Step 3: Cross multiply
    36,844.96x = 55,267.44 × 9,142.96
  4. Step 4: Simplify right side
    36,844.96x = 505,307,993.22
  5. Step 5: Solve for x
    x = 505,307,993.22/36,844.96
  6. Step 6: Final answer
    x = 13,714.44

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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.