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Finding the Fourth Proportional to 6,314.64, 9,467.14 and 3,849

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Solution

The fourth proportional to 6,314.64, 9,467.14 and 3,849 is: 5,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.64 : 9,467.14 = 3,849 : x
  2. Step 2: Convert to fraction form
    6,314.64/9,467.14 = 3,849/x
  3. Step 3: Cross multiply
    6,314.64x = 9,467.14 × 3,849
  4. Step 4: Simplify right side
    6,314.64x = 36,439,021.86
  5. Step 5: Solve for x
    x = 36,439,021.86/6,314.64
  6. Step 6: Final answer
    x = 5,770.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.