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Finding the Fourth Proportional to 6,474.34, 8,933.22 and 4,115.62

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Solution

The fourth proportional to 6,474.34, 8,933.22 and 4,115.62 is: 5,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.34 : 8,933.22 = 4,115.62 : x
  2. Step 2: Convert to fraction form
    6,474.34/8,933.22 = 4,115.62/x
  3. Step 3: Cross multiply
    6,474.34x = 8,933.22 × 4,115.62
  4. Step 4: Simplify right side
    6,474.34x = 36,765,738.90
  5. Step 5: Solve for x
    x = 36,765,738.90/6,474.34
  6. Step 6: Final answer
    x = 5,678.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.