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Finding the Fourth Proportional to 6,648.69, 9,175.26 and 3,664.64

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Solution

The fourth proportional to 6,648.69, 9,175.26 and 3,664.64 is: 5,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.69 : 9,175.26 = 3,664.64 : x
  2. Step 2: Convert to fraction form
    6,648.69/9,175.26 = 3,664.64/x
  3. Step 3: Cross multiply
    6,648.69x = 9,175.26 × 3,664.64
  4. Step 4: Simplify right side
    6,648.69x = 33,624,024.81
  5. Step 5: Solve for x
    x = 33,624,024.81/6,648.69
  6. Step 6: Final answer
    x = 5,057.24

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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.