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Finding the Fourth Proportional to 9,850.91, 13,596.46 and 5,874.21

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Solution

The fourth proportional to 9,850.91, 13,596.46 and 5,874.21 is: 8,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.91 : 13,596.46 = 5,874.21 : x
  2. Step 2: Convert to fraction form
    9,850.91/13,596.46 = 5,874.21/x
  3. Step 3: Cross multiply
    9,850.91x = 13,596.46 × 5,874.21
  4. Step 4: Simplify right side
    9,850.91x = 79,868,446.61
  5. Step 5: Solve for x
    x = 79,868,446.61/9,850.91
  6. Step 6: Final answer
    x = 8,107.73

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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.