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Finding the Fourth Proportional to 9,682.41, 13,360.86 and 5,906.70

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Solution

The fourth proportional to 9,682.41, 13,360.86 and 5,906.70 is: 8,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.41 : 13,360.86 = 5,906.70 : x
  2. Step 2: Convert to fraction form
    9,682.41/13,360.86 = 5,906.70/x
  3. Step 3: Cross multiply
    9,682.41x = 13,360.86 × 5,906.70
  4. Step 4: Simplify right side
    9,682.41x = 78,918,591.76
  5. Step 5: Solve for x
    x = 78,918,591.76/9,682.41
  6. Step 6: Final answer
    x = 8,150.72

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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.