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Finding the Fourth Proportional to 6,512.06, 9,757.82 and 5,034.89

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Solution

The fourth proportional to 6,512.06, 9,757.82 and 5,034.89 is: 7,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.06 : 9,757.82 = 5,034.89 : x
  2. Step 2: Convert to fraction form
    6,512.06/9,757.82 = 5,034.89/x
  3. Step 3: Cross multiply
    6,512.06x = 9,757.82 × 5,034.89
  4. Step 4: Simplify right side
    6,512.06x = 49,129,514.14
  5. Step 5: Solve for x
    x = 49,129,514.14/6,512.06
  6. Step 6: Final answer
    x = 7,544.39

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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.