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Finding the Fourth Proportional to 6,488.27, 9,732.41 and 1,808.29

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Solution

The fourth proportional to 6,488.27, 9,732.41 and 1,808.29 is: 2,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.27 : 9,732.41 = 1,808.29 : x
  2. Step 2: Convert to fraction form
    6,488.27/9,732.41 = 1,808.29/x
  3. Step 3: Cross multiply
    6,488.27x = 9,732.41 × 1,808.29
  4. Step 4: Simplify right side
    6,488.27x = 17,599,019.68
  5. Step 5: Solve for x
    x = 17,599,019.68/6,488.27
  6. Step 6: Final answer
    x = 2,712.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.