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Finding the Fourth Proportional to 9,209.16, 13,815.90 and 2,635.44

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Solution

The fourth proportional to 9,209.16, 13,815.90 and 2,635.44 is: 3,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.16 : 13,815.90 = 2,635.44 : x
  2. Step 2: Convert to fraction form
    9,209.16/13,815.90 = 2,635.44/x
  3. Step 3: Cross multiply
    9,209.16x = 13,815.90 × 2,635.44
  4. Step 4: Simplify right side
    9,209.16x = 36,410,975.50
  5. Step 5: Solve for x
    x = 36,410,975.50/9,209.16
  6. Step 6: Final answer
    x = 3,953.78

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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.