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Finding the Fourth Proportional to 6,874.75, 9,487.62 and 3,890.57

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Solution

The fourth proportional to 6,874.75, 9,487.62 and 3,890.57 is: 5,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.75 : 9,487.62 = 3,890.57 : x
  2. Step 2: Convert to fraction form
    6,874.75/9,487.62 = 3,890.57/x
  3. Step 3: Cross multiply
    6,874.75x = 9,487.62 × 3,890.57
  4. Step 4: Simplify right side
    6,874.75x = 36,912,249.74
  5. Step 5: Solve for x
    x = 36,912,249.74/6,874.75
  6. Step 6: Final answer
    x = 5,369.25

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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.