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Finding the Fourth Proportional to 6,730.27, 9,287.86 and 3,705.74

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Solution

The fourth proportional to 6,730.27, 9,287.86 and 3,705.74 is: 5,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.27 : 9,287.86 = 3,705.74 : x
  2. Step 2: Convert to fraction form
    6,730.27/9,287.86 = 3,705.74/x
  3. Step 3: Cross multiply
    6,730.27x = 9,287.86 × 3,705.74
  4. Step 4: Simplify right side
    6,730.27x = 34,418,408.27
  5. Step 5: Solve for x
    x = 34,418,408.27/6,730.27
  6. Step 6: Final answer
    x = 5,113.97

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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.