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Finding the Fourth Proportional to 6,168.78, 9,231.14 and 4,521.24

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Solution

The fourth proportional to 6,168.78, 9,231.14 and 4,521.24 is: 6,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.78 : 9,231.14 = 4,521.24 : x
  2. Step 2: Convert to fraction form
    6,168.78/9,231.14 = 4,521.24/x
  3. Step 3: Cross multiply
    6,168.78x = 9,231.14 × 4,521.24
  4. Step 4: Simplify right side
    6,168.78x = 41,736,199.41
  5. Step 5: Solve for x
    x = 41,736,199.41/6,168.78
  6. Step 6: Final answer
    x = 6,765.71

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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.