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Finding the Fourth Proportional to 6,727.69, 9,269.17 and 4,932.09

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Solution

The fourth proportional to 6,727.69, 9,269.17 and 4,932.09 is: 6,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.69 : 9,269.17 = 4,932.09 : x
  2. Step 2: Convert to fraction form
    6,727.69/9,269.17 = 4,932.09/x
  3. Step 3: Cross multiply
    6,727.69x = 9,269.17 × 4,932.09
  4. Step 4: Simplify right side
    6,727.69x = 45,716,368.34
  5. Step 5: Solve for x
    x = 45,716,368.34/6,727.69
  6. Step 6: Final answer
    x = 6,795.25

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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.