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Finding the Fourth Proportional to 6,293.97, 8,684.82 and 3,642.03

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Solution

The fourth proportional to 6,293.97, 8,684.82 and 3,642.03 is: 5,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.97 : 8,684.82 = 3,642.03 : x
  2. Step 2: Convert to fraction form
    6,293.97/8,684.82 = 3,642.03/x
  3. Step 3: Cross multiply
    6,293.97x = 8,684.82 × 3,642.03
  4. Step 4: Simplify right side
    6,293.97x = 31,630,374.98
  5. Step 5: Solve for x
    x = 31,630,374.98/6,293.97
  6. Step 6: Final answer
    x = 5,025.50

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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.