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Finding the Fourth Proportional to 6,649.48, 9,175.62 and 3,960.17

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Solution

The fourth proportional to 6,649.48, 9,175.62 and 3,960.17 is: 5,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.48 : 9,175.62 = 3,960.17 : x
  2. Step 2: Convert to fraction form
    6,649.48/9,175.62 = 3,960.17/x
  3. Step 3: Cross multiply
    6,649.48x = 9,175.62 × 3,960.17
  4. Step 4: Simplify right side
    6,649.48x = 36,336,969.18
  5. Step 5: Solve for x
    x = 36,336,969.18/6,649.48
  6. Step 6: Final answer
    x = 5,464.63

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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.