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Finding the Fourth Proportional to 6,856.16, 9,461.41 and 3,872.96

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Solution

The fourth proportional to 6,856.16, 9,461.41 and 3,872.96 is: 5,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.16 : 9,461.41 = 3,872.96 : x
  2. Step 2: Convert to fraction form
    6,856.16/9,461.41 = 3,872.96/x
  3. Step 3: Cross multiply
    6,856.16x = 9,461.41 × 3,872.96
  4. Step 4: Simplify right side
    6,856.16x = 36,643,605.48
  5. Step 5: Solve for x
    x = 36,643,605.48/6,856.16
  6. Step 6: Final answer
    x = 5,344.62

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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.