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Finding the Fourth Proportional to 9,206.52, 13,809.80 and 3,659.83

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Solution

The fourth proportional to 9,206.52, 13,809.80 and 3,659.83 is: 5,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.52 : 13,809.80 = 3,659.83 : x
  2. Step 2: Convert to fraction form
    9,206.52/13,809.80 = 3,659.83/x
  3. Step 3: Cross multiply
    9,206.52x = 13,809.80 × 3,659.83
  4. Step 4: Simplify right side
    9,206.52x = 50,541,494.96
  5. Step 5: Solve for x
    x = 50,541,494.96/9,206.52
  6. Step 6: Final answer
    x = 5,489.75

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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.