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Finding the Fourth Proportional to 9,249.57, 12,759.21 and 5,710.26

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Solution

The fourth proportional to 9,249.57, 12,759.21 and 5,710.26 is: 7,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.57 : 12,759.21 = 5,710.26 : x
  2. Step 2: Convert to fraction form
    9,249.57/12,759.21 = 5,710.26/x
  3. Step 3: Cross multiply
    9,249.57x = 12,759.21 × 5,710.26
  4. Step 4: Simplify right side
    9,249.57x = 72,858,406.49
  5. Step 5: Solve for x
    x = 72,858,406.49/9,249.57
  6. Step 6: Final answer
    x = 7,876.95

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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.