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Finding the Fourth Proportional to 9,175.83, 13,759.08 and 3,908.80

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Solution

The fourth proportional to 9,175.83, 13,759.08 and 3,908.80 is: 5,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.83 : 13,759.08 = 3,908.80 : x
  2. Step 2: Convert to fraction form
    9,175.83/13,759.08 = 3,908.80/x
  3. Step 3: Cross multiply
    9,175.83x = 13,759.08 × 3,908.80
  4. Step 4: Simplify right side
    9,175.83x = 53,781,491.90
  5. Step 5: Solve for x
    x = 53,781,491.90/9,175.83
  6. Step 6: Final answer
    x = 5,861.22

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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.