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Finding the Fourth Proportional to 9,105.68, 13,658.80 and 3,558.80

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Solution

The fourth proportional to 9,105.68, 13,658.80 and 3,558.80 is: 5,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.68 : 13,658.80 = 3,558.80 : x
  2. Step 2: Convert to fraction form
    9,105.68/13,658.80 = 3,558.80/x
  3. Step 3: Cross multiply
    9,105.68x = 13,658.80 × 3,558.80
  4. Step 4: Simplify right side
    9,105.68x = 48,608,937.44
  5. Step 5: Solve for x
    x = 48,608,937.44/9,105.68
  6. Step 6: Final answer
    x = 5,338.31

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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.