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Finding the Fourth Proportional to 9,634.26, 14,467.86 and 5,958.22

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Solution

The fourth proportional to 9,634.26, 14,467.86 and 5,958.22 is: 8,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.26 : 14,467.86 = 5,958.22 : x
  2. Step 2: Convert to fraction form
    9,634.26/14,467.86 = 5,958.22/x
  3. Step 3: Cross multiply
    9,634.26x = 14,467.86 × 5,958.22
  4. Step 4: Simplify right side
    9,634.26x = 86,202,692.81
  5. Step 5: Solve for x
    x = 86,202,692.81/9,634.26
  6. Step 6: Final answer
    x = 8,947.52

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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.