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Finding the Fourth Proportional to 6,495.96, 8,964.21 and 4,107.22

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Solution

The fourth proportional to 6,495.96, 8,964.21 and 4,107.22 is: 5,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.96 : 8,964.21 = 4,107.22 : x
  2. Step 2: Convert to fraction form
    6,495.96/8,964.21 = 4,107.22/x
  3. Step 3: Cross multiply
    6,495.96x = 8,964.21 × 4,107.22
  4. Step 4: Simplify right side
    6,495.96x = 36,817,982.60
  5. Step 5: Solve for x
    x = 36,817,982.60/6,495.96
  6. Step 6: Final answer
    x = 5,667.83

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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.