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Finding the Fourth Proportional to 6,685.42, 9,225.97 and 3,701.25

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Solution

The fourth proportional to 6,685.42, 9,225.97 and 3,701.25 is: 5,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.42 : 9,225.97 = 3,701.25 : x
  2. Step 2: Convert to fraction form
    6,685.42/9,225.97 = 3,701.25/x
  3. Step 3: Cross multiply
    6,685.42x = 9,225.97 × 3,701.25
  4. Step 4: Simplify right side
    6,685.42x = 34,147,626.09
  5. Step 5: Solve for x
    x = 34,147,626.09/6,685.42
  6. Step 6: Final answer
    x = 5,107.78

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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.