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Finding the Fourth Proportional to 9,006.49, 13,509.78 and 2,766.43

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Solution

The fourth proportional to 9,006.49, 13,509.78 and 2,766.43 is: 4,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.49 : 13,509.78 = 2,766.43 : x
  2. Step 2: Convert to fraction form
    9,006.49/13,509.78 = 2,766.43/x
  3. Step 3: Cross multiply
    9,006.49x = 13,509.78 × 2,766.43
  4. Step 4: Simplify right side
    9,006.49x = 37,373,860.69
  5. Step 5: Solve for x
    x = 37,373,860.69/9,006.49
  6. Step 6: Final answer
    x = 4,149.66

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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.