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Finding the Fourth Proportional to 6,880.82, 9,495.96 and 3,896.96

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Solution

The fourth proportional to 6,880.82, 9,495.96 and 3,896.96 is: 5,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.82 : 9,495.96 = 3,896.96 : x
  2. Step 2: Convert to fraction form
    6,880.82/9,495.96 = 3,896.96/x
  3. Step 3: Cross multiply
    6,880.82x = 9,495.96 × 3,896.96
  4. Step 4: Simplify right side
    6,880.82x = 37,005,376.28
  5. Step 5: Solve for x
    x = 37,005,376.28/6,880.82
  6. Step 6: Final answer
    x = 5,378.05

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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.