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Finding the Fourth Proportional to 9,720.76, 13,414.26 and 5,942.59

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Solution

The fourth proportional to 9,720.76, 13,414.26 and 5,942.59 is: 8,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.76 : 13,414.26 = 5,942.59 : x
  2. Step 2: Convert to fraction form
    9,720.76/13,414.26 = 5,942.59/x
  3. Step 3: Cross multiply
    9,720.76x = 13,414.26 × 5,942.59
  4. Step 4: Simplify right side
    9,720.76x = 79,715,447.33
  5. Step 5: Solve for x
    x = 79,715,447.33/9,720.76
  6. Step 6: Final answer
    x = 8,200.54

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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.