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Finding the Fourth Proportional to 6,120.32, 9,183.36 and 4,064

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Solution

The fourth proportional to 6,120.32, 9,183.36 and 4,064 is: 6,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.32 : 9,183.36 = 4,064 : x
  2. Step 2: Convert to fraction form
    6,120.32/9,183.36 = 4,064/x
  3. Step 3: Cross multiply
    6,120.32x = 9,183.36 × 4,064
  4. Step 4: Simplify right side
    6,120.32x = 37,321,175.04
  5. Step 5: Solve for x
    x = 37,321,175.04/6,120.32
  6. Step 6: Final answer
    x = 6,097.91

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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.