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Finding the Fourth Proportional to 6,102.82, 9,156.99 and 2,814.16

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Solution

The fourth proportional to 6,102.82, 9,156.99 and 2,814.16 is: 4,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.82 : 9,156.99 = 2,814.16 : x
  2. Step 2: Convert to fraction form
    6,102.82/9,156.99 = 2,814.16/x
  3. Step 3: Cross multiply
    6,102.82x = 9,156.99 × 2,814.16
  4. Step 4: Simplify right side
    6,102.82x = 25,769,234.98
  5. Step 5: Solve for x
    x = 25,769,234.98/6,102.82
  6. Step 6: Final answer
    x = 4,222.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.