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Finding the Fourth Proportional to 6,707.86, 9,256.84 and 3,723.69

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Solution

The fourth proportional to 6,707.86, 9,256.84 and 3,723.69 is: 5,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.86 : 9,256.84 = 3,723.69 : x
  2. Step 2: Convert to fraction form
    6,707.86/9,256.84 = 3,723.69/x
  3. Step 3: Cross multiply
    6,707.86x = 9,256.84 × 3,723.69
  4. Step 4: Simplify right side
    6,707.86x = 34,469,602.54
  5. Step 5: Solve for x
    x = 34,469,602.54/6,707.86
  6. Step 6: Final answer
    x = 5,138.69

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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.