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Finding the Fourth Proportional to 7,073.57, 9,686.07 and 6,794.73

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Solution

The fourth proportional to 7,073.57, 9,686.07 and 6,794.73 is: 9,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.57 : 9,686.07 = 6,794.73 : x
  2. Step 2: Convert to fraction form
    7,073.57/9,686.07 = 6,794.73/x
  3. Step 3: Cross multiply
    7,073.57x = 9,686.07 × 6,794.73
  4. Step 4: Simplify right side
    7,073.57x = 65,814,230.41
  5. Step 5: Solve for x
    x = 65,814,230.41/7,073.57
  6. Step 6: Final answer
    x = 9,304.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.