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Finding the Fourth Proportional to 6,514.54, 9,776.97 and 3,395.44

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Solution

The fourth proportional to 6,514.54, 9,776.97 and 3,395.44 is: 5,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.54 : 9,776.97 = 3,395.44 : x
  2. Step 2: Convert to fraction form
    6,514.54/9,776.97 = 3,395.44/x
  3. Step 3: Cross multiply
    6,514.54x = 9,776.97 × 3,395.44
  4. Step 4: Simplify right side
    6,514.54x = 33,197,115.02
  5. Step 5: Solve for x
    x = 33,197,115.02/6,514.54
  6. Step 6: Final answer
    x = 5,095.85

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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.