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Finding the Fourth Proportional to 6,685.97, 9,226.64 and 3,701.79

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Solution

The fourth proportional to 6,685.97, 9,226.64 and 3,701.79 is: 5,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.97 : 9,226.64 = 3,701.79 : x
  2. Step 2: Convert to fraction form
    6,685.97/9,226.64 = 3,701.79/x
  3. Step 3: Cross multiply
    6,685.97x = 9,226.64 × 3,701.79
  4. Step 4: Simplify right side
    6,685.97x = 34,155,092.94
  5. Step 5: Solve for x
    x = 34,155,092.94/6,685.97
  6. Step 6: Final answer
    x = 5,108.48

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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.