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Finding the Fourth Proportional to 6,834.71, 9,431.69 and 3,850.48

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Solution

The fourth proportional to 6,834.71, 9,431.69 and 3,850.48 is: 5,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.71 : 9,431.69 = 3,850.48 : x
  2. Step 2: Convert to fraction form
    6,834.71/9,431.69 = 3,850.48/x
  3. Step 3: Cross multiply
    6,834.71x = 9,431.69 × 3,850.48
  4. Step 4: Simplify right side
    6,834.71x = 36,316,486.55
  5. Step 5: Solve for x
    x = 36,316,486.55/6,834.71
  6. Step 6: Final answer
    x = 5,313.54

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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.