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Finding the Fourth Proportional to 36,817.84, 55,226.49 and 9,115.84

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Solution

The fourth proportional to 36,817.84, 55,226.49 and 9,115.84 is: 13,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,817.84 : 55,226.49 = 9,115.84 : x
  2. Step 2: Convert to fraction form
    36,817.84/55,226.49 = 9,115.84/x
  3. Step 3: Cross multiply
    36,817.84x = 55,226.49 × 9,115.84
  4. Step 4: Simplify right side
    36,817.84x = 503,435,846.60
  5. Step 5: Solve for x
    x = 503,435,846.60/36,817.84
  6. Step 6: Final answer
    x = 13,673.69

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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.