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Finding the Fourth Proportional to 9,682.52, 14,529.05 and 6,755.18

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Solution

The fourth proportional to 9,682.52, 14,529.05 and 6,755.18 is: 10,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.52 : 14,529.05 = 6,755.18 : x
  2. Step 2: Convert to fraction form
    9,682.52/14,529.05 = 6,755.18/x
  3. Step 3: Cross multiply
    9,682.52x = 14,529.05 × 6,755.18
  4. Step 4: Simplify right side
    9,682.52x = 98,146,241.56
  5. Step 5: Solve for x
    x = 98,146,241.56/9,682.52
  6. Step 6: Final answer
    x = 10,136.44

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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.