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Finding the Fourth Proportional to 9,596.32, 14,371.26 and 7,940.68

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Solution

The fourth proportional to 9,596.32, 14,371.26 and 7,940.68 is: 11,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.32 : 14,371.26 = 7,940.68 : x
  2. Step 2: Convert to fraction form
    9,596.32/14,371.26 = 7,940.68/x
  3. Step 3: Cross multiply
    9,596.32x = 14,371.26 × 7,940.68
  4. Step 4: Simplify right side
    9,596.32x = 114,117,576.86
  5. Step 5: Solve for x
    x = 114,117,576.86/9,596.32
  6. Step 6: Final answer
    x = 11,891.81

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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.