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Finding the Fourth Proportional to 6,856.76, 9,462.30 and 3,872.56

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Solution

The fourth proportional to 6,856.76, 9,462.30 and 3,872.56 is: 5,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.76 : 9,462.30 = 3,872.56 : x
  2. Step 2: Convert to fraction form
    6,856.76/9,462.30 = 3,872.56/x
  3. Step 3: Cross multiply
    6,856.76x = 9,462.30 × 3,872.56
  4. Step 4: Simplify right side
    6,856.76x = 36,643,324.49
  5. Step 5: Solve for x
    x = 36,643,324.49/6,856.76
  6. Step 6: Final answer
    x = 5,344.12

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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.