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Finding the Fourth Proportional to 9,626.77, 13,286.06 and 5,434.75

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Solution

The fourth proportional to 9,626.77, 13,286.06 and 5,434.75 is: 7,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.77 : 13,286.06 = 5,434.75 : x
  2. Step 2: Convert to fraction form
    9,626.77/13,286.06 = 5,434.75/x
  3. Step 3: Cross multiply
    9,626.77x = 13,286.06 × 5,434.75
  4. Step 4: Simplify right side
    9,626.77x = 72,206,414.59
  5. Step 5: Solve for x
    x = 72,206,414.59/9,626.77
  6. Step 6: Final answer
    x = 7,500.59

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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.