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Finding the Fourth Proportional to 9,209.97, 13,814.17 and 3,661.83

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Solution

The fourth proportional to 9,209.97, 13,814.17 and 3,661.83 is: 5,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.97 : 13,814.17 = 3,661.83 : x
  2. Step 2: Convert to fraction form
    9,209.97/13,814.17 = 3,661.83/x
  3. Step 3: Cross multiply
    9,209.97x = 13,814.17 × 3,661.83
  4. Step 4: Simplify right side
    9,209.97x = 50,585,132.98
  5. Step 5: Solve for x
    x = 50,585,132.98/9,209.97
  6. Step 6: Final answer
    x = 5,492.43

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Double scale
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Similar ratio
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1.5x scale

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.