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Finding the Fourth Proportional to 9,343.82, 14,015.69 and 3,104.30

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Solution

The fourth proportional to 9,343.82, 14,015.69 and 3,104.30 is: 4,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.82 : 14,015.69 = 3,104.30 : x
  2. Step 2: Convert to fraction form
    9,343.82/14,015.69 = 3,104.30/x
  3. Step 3: Cross multiply
    9,343.82x = 14,015.69 × 3,104.30
  4. Step 4: Simplify right side
    9,343.82x = 43,508,820.87
  5. Step 5: Solve for x
    x = 43,508,820.87/9,343.82
  6. Step 6: Final answer
    x = 4,656.43

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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.