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Finding the Fourth Proportional to 9,596.26, 14,390.07 and 3,751.30

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Solution

The fourth proportional to 9,596.26, 14,390.07 and 3,751.30 is: 5,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.26 : 14,390.07 = 3,751.30 : x
  2. Step 2: Convert to fraction form
    9,596.26/14,390.07 = 3,751.30/x
  3. Step 3: Cross multiply
    9,596.26x = 14,390.07 × 3,751.30
  4. Step 4: Simplify right side
    9,596.26x = 53,981,469.59
  5. Step 5: Solve for x
    x = 53,981,469.59/9,596.26
  6. Step 6: Final answer
    x = 5,625.26

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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.