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Finding the Fourth Proportional to 9,596.10, 14,380.43 and 3,745.92

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Solution

The fourth proportional to 9,596.10, 14,380.43 and 3,745.92 is: 5,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.10 : 14,380.43 = 3,745.92 : x
  2. Step 2: Convert to fraction form
    9,596.10/14,380.43 = 3,745.92/x
  3. Step 3: Cross multiply
    9,596.10x = 14,380.43 × 3,745.92
  4. Step 4: Simplify right side
    9,596.10x = 53,867,921.62
  5. Step 5: Solve for x
    x = 53,867,921.62/9,596.10
  6. Step 6: Final answer
    x = 5,613.52

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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.