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Finding the Fourth Proportional to 6,608.78, 9,119.75 and 5,034.14

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Solution

The fourth proportional to 6,608.78, 9,119.75 and 5,034.14 is: 6,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.78 : 9,119.75 = 5,034.14 : x
  2. Step 2: Convert to fraction form
    6,608.78/9,119.75 = 5,034.14/x
  3. Step 3: Cross multiply
    6,608.78x = 9,119.75 × 5,034.14
  4. Step 4: Simplify right side
    6,608.78x = 45,910,027.50
  5. Step 5: Solve for x
    x = 45,910,027.50/6,608.78
  6. Step 6: Final answer
    x = 6,946.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.