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Finding the Fourth Proportional to 6,856.26, 9,461.64 and 3,712.44

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Solution

The fourth proportional to 6,856.26, 9,461.64 and 3,712.44 is: 5,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.26 : 9,461.64 = 3,712.44 : x
  2. Step 2: Convert to fraction form
    6,856.26/9,461.64 = 3,712.44/x
  3. Step 3: Cross multiply
    6,856.26x = 9,461.64 × 3,712.44
  4. Step 4: Simplify right side
    6,856.26x = 35,125,770.80
  5. Step 5: Solve for x
    x = 35,125,770.80/6,856.26
  6. Step 6: Final answer
    x = 5,123.17

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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.