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Finding the Fourth Proportional to 7,015.98, 9,682.20 and 3,872.17

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Solution

The fourth proportional to 7,015.98, 9,682.20 and 3,872.17 is: 5,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.98 : 9,682.20 = 3,872.17 : x
  2. Step 2: Convert to fraction form
    7,015.98/9,682.20 = 3,872.17/x
  3. Step 3: Cross multiply
    7,015.98x = 9,682.20 × 3,872.17
  4. Step 4: Simplify right side
    7,015.98x = 37,491,136.48
  5. Step 5: Solve for x
    x = 37,491,136.48/7,015.98
  6. Step 6: Final answer
    x = 5,343.67

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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.