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Finding the Fourth Proportional to 9,920.54, 13,690.79 and 5,940.87

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Solution

The fourth proportional to 9,920.54, 13,690.79 and 5,940.87 is: 8,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.54 : 13,690.79 = 5,940.87 : x
  2. Step 2: Convert to fraction form
    9,920.54/13,690.79 = 5,940.87/x
  3. Step 3: Cross multiply
    9,920.54x = 13,690.79 × 5,940.87
  4. Step 4: Simplify right side
    9,920.54x = 81,335,173.88
  5. Step 5: Solve for x
    x = 81,335,173.88/9,920.54
  6. Step 6: Final answer
    x = 8,198.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.