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Finding the Fourth Proportional to 9,662.82, 14,500.68 and 3,422.79

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Solution

The fourth proportional to 9,662.82, 14,500.68 and 3,422.79 is: 5,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.82 : 14,500.68 = 3,422.79 : x
  2. Step 2: Convert to fraction form
    9,662.82/14,500.68 = 3,422.79/x
  3. Step 3: Cross multiply
    9,662.82x = 14,500.68 × 3,422.79
  4. Step 4: Simplify right side
    9,662.82x = 49,632,782.50
  5. Step 5: Solve for x
    x = 49,632,782.50/9,662.82
  6. Step 6: Final answer
    x = 5,136.47

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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.