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Finding the Fourth Proportional to 9,682.39, 14,526 and 2,756.89

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Solution

The fourth proportional to 9,682.39, 14,526 and 2,756.89 is: 4,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.39 : 14,526 = 2,756.89 : x
  2. Step 2: Convert to fraction form
    9,682.39/14,526 = 2,756.89/x
  3. Step 3: Cross multiply
    9,682.39x = 14,526 × 2,756.89
  4. Step 4: Simplify right side
    9,682.39x = 40,046,584.14
  5. Step 5: Solve for x
    x = 40,046,584.14/9,682.39
  6. Step 6: Final answer
    x = 4,136.02

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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.