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Finding the Fourth Proportional to 6,857.21, 9,462.42 and 3,873.35

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Solution

The fourth proportional to 6,857.21, 9,462.42 and 3,873.35 is: 5,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.21 : 9,462.42 = 3,873.35 : x
  2. Step 2: Convert to fraction form
    6,857.21/9,462.42 = 3,873.35/x
  3. Step 3: Cross multiply
    6,857.21x = 9,462.42 × 3,873.35
  4. Step 4: Simplify right side
    6,857.21x = 36,651,217.19
  5. Step 5: Solve for x
    x = 36,651,217.19/6,857.21
  6. Step 6: Final answer
    x = 5,344.92

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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.