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Finding the Fourth Proportional to 6,674.75, 9,211.32 and 3,690.62

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Solution

The fourth proportional to 6,674.75, 9,211.32 and 3,690.62 is: 5,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.75 : 9,211.32 = 3,690.62 : x
  2. Step 2: Convert to fraction form
    6,674.75/9,211.32 = 3,690.62/x
  3. Step 3: Cross multiply
    6,674.75x = 9,211.32 × 3,690.62
  4. Step 4: Simplify right side
    6,674.75x = 33,995,435.76
  5. Step 5: Solve for x
    x = 33,995,435.76/6,674.75
  6. Step 6: Final answer
    x = 5,093.14

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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.