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Finding the Fourth Proportional to 6,857.16, 9,462.88 and 3,872.86

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Solution

The fourth proportional to 6,857.16, 9,462.88 and 3,872.86 is: 5,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.16 : 9,462.88 = 3,872.86 : x
  2. Step 2: Convert to fraction form
    6,857.16/9,462.88 = 3,872.86/x
  3. Step 3: Cross multiply
    6,857.16x = 9,462.88 × 3,872.86
  4. Step 4: Simplify right side
    6,857.16x = 36,648,409.44
  5. Step 5: Solve for x
    x = 36,648,409.44/6,857.16
  6. Step 6: Final answer
    x = 5,344.55

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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.