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Finding the Fourth Proportional to 6,105.20, 9,164.28 and 5,794.16

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Solution

The fourth proportional to 6,105.20, 9,164.28 and 5,794.16 is: 8,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.20 : 9,164.28 = 5,794.16 : x
  2. Step 2: Convert to fraction form
    6,105.20/9,164.28 = 5,794.16/x
  3. Step 3: Cross multiply
    6,105.20x = 9,164.28 × 5,794.16
  4. Step 4: Simplify right side
    6,105.20x = 53,099,304.60
  5. Step 5: Solve for x
    x = 53,099,304.60/6,105.20
  6. Step 6: Final answer
    x = 8,697.39

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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.