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Finding the Fourth Proportional to 6,198.34, 9,300.70 and 4,119.78

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Solution

The fourth proportional to 6,198.34, 9,300.70 and 4,119.78 is: 6,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.34 : 9,300.70 = 4,119.78 : x
  2. Step 2: Convert to fraction form
    6,198.34/9,300.70 = 4,119.78/x
  3. Step 3: Cross multiply
    6,198.34x = 9,300.70 × 4,119.78
  4. Step 4: Simplify right side
    6,198.34x = 38,316,837.85
  5. Step 5: Solve for x
    x = 38,316,837.85/6,198.34
  6. Step 6: Final answer
    x = 6,181.79

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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.