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Finding the Fourth Proportional to 6,649.10, 9,175.39 and 3,664.93

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Solution

The fourth proportional to 6,649.10, 9,175.39 and 3,664.93 is: 5,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.10 : 9,175.39 = 3,664.93 : x
  2. Step 2: Convert to fraction form
    6,649.10/9,175.39 = 3,664.93/x
  3. Step 3: Cross multiply
    6,649.10x = 9,175.39 × 3,664.93
  4. Step 4: Simplify right side
    6,649.10x = 33,627,162.07
  5. Step 5: Solve for x
    x = 33,627,162.07/6,649.10
  6. Step 6: Final answer
    x = 5,057.40

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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.