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Finding the Fourth Proportional to 9,682.82, 14,525.24 and 4,136.75

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Solution

The fourth proportional to 9,682.82, 14,525.24 and 4,136.75 is: 6,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.82 : 14,525.24 = 4,136.75 : x
  2. Step 2: Convert to fraction form
    9,682.82/14,525.24 = 4,136.75/x
  3. Step 3: Cross multiply
    9,682.82x = 14,525.24 × 4,136.75
  4. Step 4: Simplify right side
    9,682.82x = 60,087,193.26
  5. Step 5: Solve for x
    x = 60,087,193.26/9,682.82
  6. Step 6: Final answer
    x = 6,205.55

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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.