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Finding the Fourth Proportional to 9,489.08, 14,213.78 and 7,630.14

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Solution

The fourth proportional to 9,489.08, 14,213.78 and 7,630.14 is: 11,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.08 : 14,213.78 = 7,630.14 : x
  2. Step 2: Convert to fraction form
    9,489.08/14,213.78 = 7,630.14/x
  3. Step 3: Cross multiply
    9,489.08x = 14,213.78 × 7,630.14
  4. Step 4: Simplify right side
    9,489.08x = 108,453,131.33
  5. Step 5: Solve for x
    x = 108,453,131.33/9,489.08
  6. Step 6: Final answer
    x = 11,429.26

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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.