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Finding the Fourth Proportional to 9,206.64, 13,812.12 and 3,366

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Solution

The fourth proportional to 9,206.64, 13,812.12 and 3,366 is: 5,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.64 : 13,812.12 = 3,366 : x
  2. Step 2: Convert to fraction form
    9,206.64/13,812.12 = 3,366/x
  3. Step 3: Cross multiply
    9,206.64x = 13,812.12 × 3,366
  4. Step 4: Simplify right side
    9,206.64x = 46,491,595.92
  5. Step 5: Solve for x
    x = 46,491,595.92/9,206.64
  6. Step 6: Final answer
    x = 5,049.79

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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.