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Finding the Fourth Proportional to 6,856.17, 9,461.43 and 3,712.29

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Solution

The fourth proportional to 6,856.17, 9,461.43 and 3,712.29 is: 5,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.17 : 9,461.43 = 3,712.29 : x
  2. Step 2: Convert to fraction form
    6,856.17/9,461.43 = 3,712.29/x
  3. Step 3: Cross multiply
    6,856.17x = 9,461.43 × 3,712.29
  4. Step 4: Simplify right side
    6,856.17x = 35,123,571.97
  5. Step 5: Solve for x
    x = 35,123,571.97/6,856.17
  6. Step 6: Final answer
    x = 5,122.91

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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.