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Finding the Fourth Proportional to 6,514.86, 9,777.54 and 3,395.82

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Solution

The fourth proportional to 6,514.86, 9,777.54 and 3,395.82 is: 5,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.86 : 9,777.54 = 3,395.82 : x
  2. Step 2: Convert to fraction form
    6,514.86/9,777.54 = 3,395.82/x
  3. Step 3: Cross multiply
    6,514.86x = 9,777.54 × 3,395.82
  4. Step 4: Simplify right side
    6,514.86x = 33,202,765.88
  5. Step 5: Solve for x
    x = 33,202,765.88/6,514.86
  6. Step 6: Final answer
    x = 5,096.47

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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.