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Finding the Fourth Proportional to 9,682.80, 14,526.48 and 2,757.12

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Solution

The fourth proportional to 9,682.80, 14,526.48 and 2,757.12 is: 4,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.80 : 14,526.48 = 2,757.12 : x
  2. Step 2: Convert to fraction form
    9,682.80/14,526.48 = 2,757.12/x
  3. Step 3: Cross multiply
    9,682.80x = 14,526.48 × 2,757.12
  4. Step 4: Simplify right side
    9,682.80x = 40,051,248.54
  5. Step 5: Solve for x
    x = 40,051,248.54/9,682.80
  6. Step 6: Final answer
    x = 4,136.33

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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.