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Finding the Fourth Proportional to 9,600.14, 14,399.80 and 3,031.04

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Solution

The fourth proportional to 9,600.14, 14,399.80 and 3,031.04 is: 4,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.14 : 14,399.80 = 3,031.04 : x
  2. Step 2: Convert to fraction form
    9,600.14/14,399.80 = 3,031.04/x
  3. Step 3: Cross multiply
    9,600.14x = 14,399.80 × 3,031.04
  4. Step 4: Simplify right side
    9,600.14x = 43,646,369.79
  5. Step 5: Solve for x
    x = 43,646,369.79/9,600.14
  6. Step 6: Final answer
    x = 4,546.43

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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.