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Finding the Fourth Proportional to 6,403.54, 9,599.62 and 3,443.57

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Solution

The fourth proportional to 6,403.54, 9,599.62 and 3,443.57 is: 5,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.54 : 9,599.62 = 3,443.57 : x
  2. Step 2: Convert to fraction form
    6,403.54/9,599.62 = 3,443.57/x
  3. Step 3: Cross multiply
    6,403.54x = 9,599.62 × 3,443.57
  4. Step 4: Simplify right side
    6,403.54x = 33,056,963.44
  5. Step 5: Solve for x
    x = 33,056,963.44/6,403.54
  6. Step 6: Final answer
    x = 5,162.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.