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Finding the Fourth Proportional to 6,649.49, 9,175.89 and 3,665.35

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Solution

The fourth proportional to 6,649.49, 9,175.89 and 3,665.35 is: 5,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.49 : 9,175.89 = 3,665.35 : x
  2. Step 2: Convert to fraction form
    6,649.49/9,175.89 = 3,665.35/x
  3. Step 3: Cross multiply
    6,649.49x = 9,175.89 × 3,665.35
  4. Step 4: Simplify right side
    6,649.49x = 33,632,848.41
  5. Step 5: Solve for x
    x = 33,632,848.41/6,649.49
  6. Step 6: Final answer
    x = 5,057.96

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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.