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Finding the Fourth Proportional to 6,834, 9,430.74 and 3,850.14

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Solution

The fourth proportional to 6,834, 9,430.74 and 3,850.14 is: 5,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 9,430.74 = 3,850.14 : x
  2. Step 2: Convert to fraction form
    6,834/9,430.74 = 3,850.14/x
  3. Step 3: Cross multiply
    6,834x = 9,430.74 × 3,850.14
  4. Step 4: Simplify right side
    6,834x = 36,309,669.30
  5. Step 5: Solve for x
    x = 36,309,669.30/6,834
  6. Step 6: Final answer
    x = 5,313.09

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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.