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Finding the Fourth Proportional to 6,880.29, 9,494.72 and 3,896.07

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Solution

The fourth proportional to 6,880.29, 9,494.72 and 3,896.07 is: 5,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.29 : 9,494.72 = 3,896.07 : x
  2. Step 2: Convert to fraction form
    6,880.29/9,494.72 = 3,896.07/x
  3. Step 3: Cross multiply
    6,880.29x = 9,494.72 × 3,896.07
  4. Step 4: Simplify right side
    6,880.29x = 36,992,074.27
  5. Step 5: Solve for x
    x = 36,992,074.27/6,880.29
  6. Step 6: Final answer
    x = 5,376.53

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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.