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Finding the Fourth Proportional to 6,544.68, 9,033.60 and 3,893.70

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Solution

The fourth proportional to 6,544.68, 9,033.60 and 3,893.70 is: 5,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.68 : 9,033.60 = 3,893.70 : x
  2. Step 2: Convert to fraction form
    6,544.68/9,033.60 = 3,893.70/x
  3. Step 3: Cross multiply
    6,544.68x = 9,033.60 × 3,893.70
  4. Step 4: Simplify right side
    6,544.68x = 35,174,128.32
  5. Step 5: Solve for x
    x = 35,174,128.32/6,544.68
  6. Step 6: Final answer
    x = 5,374.46

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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.