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Finding the Fourth Proportional to 6,880.32, 9,495.27 and 3,896.46

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Solution

The fourth proportional to 6,880.32, 9,495.27 and 3,896.46 is: 5,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.32 : 9,495.27 = 3,896.46 : x
  2. Step 2: Convert to fraction form
    6,880.32/9,495.27 = 3,896.46/x
  3. Step 3: Cross multiply
    6,880.32x = 9,495.27 × 3,896.46
  4. Step 4: Simplify right side
    6,880.32x = 36,997,939.74
  5. Step 5: Solve for x
    x = 36,997,939.74/6,880.32
  6. Step 6: Final answer
    x = 5,377.36

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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.