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Finding the Fourth Proportional to 9,206.57, 13,799.14 and 5,260.59

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Solution

The fourth proportional to 9,206.57, 13,799.14 and 5,260.59 is: 7,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.57 : 13,799.14 = 5,260.59 : x
  2. Step 2: Convert to fraction form
    9,206.57/13,799.14 = 5,260.59/x
  3. Step 3: Cross multiply
    9,206.57x = 13,799.14 × 5,260.59
  4. Step 4: Simplify right side
    9,206.57x = 72,591,604.74
  5. Step 5: Solve for x
    x = 72,591,604.74/9,206.57
  6. Step 6: Final answer
    x = 7,884.76

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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.