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Finding the Fourth Proportional to 36,137.16, 54,200.22 and 9,843.96

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Solution

The fourth proportional to 36,137.16, 54,200.22 and 9,843.96 is: 14,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,137.16 : 54,200.22 = 9,843.96 : x
  2. Step 2: Convert to fraction form
    36,137.16/54,200.22 = 9,843.96/x
  3. Step 3: Cross multiply
    36,137.16x = 54,200.22 × 9,843.96
  4. Step 4: Simplify right side
    36,137.16x = 533,544,797.67
  5. Step 5: Solve for x
    x = 533,544,797.67/36,137.16
  6. Step 6: Final answer
    x = 14,764.44

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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.