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Finding the Fourth Proportional to 6,514.68, 9,766.09 and 3,391.01

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Solution

The fourth proportional to 6,514.68, 9,766.09 and 3,391.01 is: 5,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.68 : 9,766.09 = 3,391.01 : x
  2. Step 2: Convert to fraction form
    6,514.68/9,766.09 = 3,391.01/x
  3. Step 3: Cross multiply
    6,514.68x = 9,766.09 × 3,391.01
  4. Step 4: Simplify right side
    6,514.68x = 33,116,933.27
  5. Step 5: Solve for x
    x = 33,116,933.27/6,514.68
  6. Step 6: Final answer
    x = 5,083.44

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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.