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Finding the Fourth Proportional to 9,309.07, 13,958.21 and 3,757.87

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Solution

The fourth proportional to 9,309.07, 13,958.21 and 3,757.87 is: 5,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.07 : 13,958.21 = 3,757.87 : x
  2. Step 2: Convert to fraction form
    9,309.07/13,958.21 = 3,757.87/x
  3. Step 3: Cross multiply
    9,309.07x = 13,958.21 × 3,757.87
  4. Step 4: Simplify right side
    9,309.07x = 52,453,119.82
  5. Step 5: Solve for x
    x = 52,453,119.82/9,309.07
  6. Step 6: Final answer
    x = 5,634.63

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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.