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Finding the Fourth Proportional to 9,205.52, 13,806.34 and 2,966.09

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Solution

The fourth proportional to 9,205.52, 13,806.34 and 2,966.09 is: 4,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.52 : 13,806.34 = 2,966.09 : x
  2. Step 2: Convert to fraction form
    9,205.52/13,806.34 = 2,966.09/x
  3. Step 3: Cross multiply
    9,205.52x = 13,806.34 × 2,966.09
  4. Step 4: Simplify right side
    9,205.52x = 40,950,847.01
  5. Step 5: Solve for x
    x = 40,950,847.01/9,205.52
  6. Step 6: Final answer
    x = 4,448.51

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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.