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Finding the Fourth Proportional to 6,314.62, 8,713.16 and 3,796.13

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Solution

The fourth proportional to 6,314.62, 8,713.16 and 3,796.13 is: 5,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.62 : 8,713.16 = 3,796.13 : x
  2. Step 2: Convert to fraction form
    6,314.62/8,713.16 = 3,796.13/x
  3. Step 3: Cross multiply
    6,314.62x = 8,713.16 × 3,796.13
  4. Step 4: Simplify right side
    6,314.62x = 33,076,272.43
  5. Step 5: Solve for x
    x = 33,076,272.43/6,314.62
  6. Step 6: Final answer
    x = 5,238.05

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Why These Related Problems?

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