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Finding the Fourth Proportional to 9,209.50, 13,797.87 and 5,305.84

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Solution

The fourth proportional to 9,209.50, 13,797.87 and 5,305.84 is: 7,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.50 : 13,797.87 = 5,305.84 : x
  2. Step 2: Convert to fraction form
    9,209.50/13,797.87 = 5,305.84/x
  3. Step 3: Cross multiply
    9,209.50x = 13,797.87 × 5,305.84
  4. Step 4: Simplify right side
    9,209.50x = 73,209,290.56
  5. Step 5: Solve for x
    x = 73,209,290.56/9,209.50
  6. Step 6: Final answer
    x = 7,949.32

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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.