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Finding the Fourth Proportional to 6,756, 9,323.52 and 3,961.68

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Solution

The fourth proportional to 6,756, 9,323.52 and 3,961.68 is: 5,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756 : 9,323.52 = 3,961.68 : x
  2. Step 2: Convert to fraction form
    6,756/9,323.52 = 3,961.68/x
  3. Step 3: Cross multiply
    6,756x = 9,323.52 × 3,961.68
  4. Step 4: Simplify right side
    6,756x = 36,936,802.71
  5. Step 5: Solve for x
    x = 36,936,802.71/6,756
  6. Step 6: Final answer
    x = 5,467.26

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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.