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Finding the Fourth Proportional to 9,309.57, 13,958.96 and 3,758.37

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Solution

The fourth proportional to 9,309.57, 13,958.96 and 3,758.37 is: 5,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.57 : 13,958.96 = 3,758.37 : x
  2. Step 2: Convert to fraction form
    9,309.57/13,958.96 = 3,758.37/x
  3. Step 3: Cross multiply
    9,309.57x = 13,958.96 × 3,758.37
  4. Step 4: Simplify right side
    9,309.57x = 52,462,917.70
  5. Step 5: Solve for x
    x = 52,462,917.70/9,309.57
  6. Step 6: Final answer
    x = 5,635.37

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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.