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Finding the Fourth Proportional to 9,265.69, 12,785.45 and 5,286.56

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Solution

The fourth proportional to 9,265.69, 12,785.45 and 5,286.56 is: 7,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.69 : 12,785.45 = 5,286.56 : x
  2. Step 2: Convert to fraction form
    9,265.69/12,785.45 = 5,286.56/x
  3. Step 3: Cross multiply
    9,265.69x = 12,785.45 × 5,286.56
  4. Step 4: Simplify right side
    9,265.69x = 67,591,048.55
  5. Step 5: Solve for x
    x = 67,591,048.55/9,265.69
  6. Step 6: Final answer
    x = 7,294.77

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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.