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Finding the Fourth Proportional to 6,856.36, 9,462.22 and 3,871.10

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Solution

The fourth proportional to 6,856.36, 9,462.22 and 3,871.10 is: 5,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.36 : 9,462.22 = 3,871.10 : x
  2. Step 2: Convert to fraction form
    6,856.36/9,462.22 = 3,871.10/x
  3. Step 3: Cross multiply
    6,856.36x = 9,462.22 × 3,871.10
  4. Step 4: Simplify right side
    6,856.36x = 36,629,199.84
  5. Step 5: Solve for x
    x = 36,629,199.84/6,856.36
  6. Step 6: Final answer
    x = 5,342.37

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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.