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Finding the Fourth Proportional to 6,856.49, 9,461.99 and 3,872.36

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Solution

The fourth proportional to 6,856.49, 9,461.99 and 3,872.36 is: 5,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.49 : 9,461.99 = 3,872.36 : x
  2. Step 2: Convert to fraction form
    6,856.49/9,461.99 = 3,872.36/x
  3. Step 3: Cross multiply
    6,856.49x = 9,461.99 × 3,872.36
  4. Step 4: Simplify right side
    6,856.49x = 36,640,212.23
  5. Step 5: Solve for x
    x = 36,640,212.23/6,856.49
  6. Step 6: Final answer
    x = 5,343.87

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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.