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Finding the Fourth Proportional to 6,680.26, 9,219.56 and 3,885.76

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Solution

The fourth proportional to 6,680.26, 9,219.56 and 3,885.76 is: 5,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.26 : 9,219.56 = 3,885.76 : x
  2. Step 2: Convert to fraction form
    6,680.26/9,219.56 = 3,885.76/x
  3. Step 3: Cross multiply
    6,680.26x = 9,219.56 × 3,885.76
  4. Step 4: Simplify right side
    6,680.26x = 35,824,997.47
  5. Step 5: Solve for x
    x = 35,824,997.47/6,680.26
  6. Step 6: Final answer
    x = 5,362.81

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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.