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Finding the Fourth Proportional to 9,099.10, 13,651.98 and 3,835.43

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Solution

The fourth proportional to 9,099.10, 13,651.98 and 3,835.43 is: 5,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.10 : 13,651.98 = 3,835.43 : x
  2. Step 2: Convert to fraction form
    9,099.10/13,651.98 = 3,835.43/x
  3. Step 3: Cross multiply
    9,099.10x = 13,651.98 × 3,835.43
  4. Step 4: Simplify right side
    9,099.10x = 52,361,213.65
  5. Step 5: Solve for x
    x = 52,361,213.65/9,099.10
  6. Step 6: Final answer
    x = 5,754.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.