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Finding the Fourth Proportional to 6,296.20, 8,688.07 and 3,643.09

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Solution

The fourth proportional to 6,296.20, 8,688.07 and 3,643.09 is: 5,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.20 : 8,688.07 = 3,643.09 : x
  2. Step 2: Convert to fraction form
    6,296.20/8,688.07 = 3,643.09/x
  3. Step 3: Cross multiply
    6,296.20x = 8,688.07 × 3,643.09
  4. Step 4: Simplify right side
    6,296.20x = 31,651,420.94
  5. Step 5: Solve for x
    x = 31,651,420.94/6,296.20
  6. Step 6: Final answer
    x = 5,027.07

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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.