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Finding the Fourth Proportional to 6,707.67, 9,256.19 and 3,723.42

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Solution

The fourth proportional to 6,707.67, 9,256.19 and 3,723.42 is: 5,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.67 : 9,256.19 = 3,723.42 : x
  2. Step 2: Convert to fraction form
    6,707.67/9,256.19 = 3,723.42/x
  3. Step 3: Cross multiply
    6,707.67x = 9,256.19 × 3,723.42
  4. Step 4: Simplify right side
    6,707.67x = 34,464,682.97
  5. Step 5: Solve for x
    x = 34,464,682.97/6,707.67
  6. Step 6: Final answer
    x = 5,138.10

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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.