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Finding the Fourth Proportional to 6,128.84, 9,190.82 and 3,209.60

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Solution

The fourth proportional to 6,128.84, 9,190.82 and 3,209.60 is: 4,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.84 : 9,190.82 = 3,209.60 : x
  2. Step 2: Convert to fraction form
    6,128.84/9,190.82 = 3,209.60/x
  3. Step 3: Cross multiply
    6,128.84x = 9,190.82 × 3,209.60
  4. Step 4: Simplify right side
    6,128.84x = 29,498,855.87
  5. Step 5: Solve for x
    x = 29,498,855.87/6,128.84
  6. Step 6: Final answer
    x = 4,813.12

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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.