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Finding the Fourth Proportional to 8,534.36, 12,801.44 and 2,209.24

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Solution

The fourth proportional to 8,534.36, 12,801.44 and 2,209.24 is: 3,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.36 : 12,801.44 = 2,209.24 : x
  2. Step 2: Convert to fraction form
    8,534.36/12,801.44 = 2,209.24/x
  3. Step 3: Cross multiply
    8,534.36x = 12,801.44 × 2,209.24
  4. Step 4: Simplify right side
    8,534.36x = 28,281,453.31
  5. Step 5: Solve for x
    x = 28,281,453.31/8,534.36
  6. Step 6: Final answer
    x = 3,313.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.