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Finding the Fourth Proportional to 6,711.69, 9,261.74 and 3,727.35

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Solution

The fourth proportional to 6,711.69, 9,261.74 and 3,727.35 is: 5,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.69 : 9,261.74 = 3,727.35 : x
  2. Step 2: Convert to fraction form
    6,711.69/9,261.74 = 3,727.35/x
  3. Step 3: Cross multiply
    6,711.69x = 9,261.74 × 3,727.35
  4. Step 4: Simplify right side
    6,711.69x = 34,521,755.91
  5. Step 5: Solve for x
    x = 34,521,755.91/6,711.69
  6. Step 6: Final answer
    x = 5,143.52

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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.