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Finding the Fourth Proportional to 6,207.48, 9,314.94 and 2,314.62

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Solution

The fourth proportional to 6,207.48, 9,314.94 and 2,314.62 is: 3,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.48 : 9,314.94 = 2,314.62 : x
  2. Step 2: Convert to fraction form
    6,207.48/9,314.94 = 2,314.62/x
  3. Step 3: Cross multiply
    6,207.48x = 9,314.94 × 2,314.62
  4. Step 4: Simplify right side
    6,207.48x = 21,560,546.42
  5. Step 5: Solve for x
    x = 21,560,546.42/6,207.48
  6. Step 6: Final answer
    x = 3,473.32

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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.