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Finding the Fourth Proportional to 6,716.51, 9,267.94 and 3,732.13

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Solution

The fourth proportional to 6,716.51, 9,267.94 and 3,732.13 is: 5,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.51 : 9,267.94 = 3,732.13 : x
  2. Step 2: Convert to fraction form
    6,716.51/9,267.94 = 3,732.13/x
  3. Step 3: Cross multiply
    6,716.51x = 9,267.94 × 3,732.13
  4. Step 4: Simplify right side
    6,716.51x = 34,589,124.41
  5. Step 5: Solve for x
    x = 34,589,124.41/6,716.51
  6. Step 6: Final answer
    x = 5,149.87

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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.