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Finding the Fourth Proportional to 6,965.57, 9,609.85 and 4,447.80

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Solution

The fourth proportional to 6,965.57, 9,609.85 and 4,447.80 is: 6,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.57 : 9,609.85 = 4,447.80 : x
  2. Step 2: Convert to fraction form
    6,965.57/9,609.85 = 4,447.80/x
  3. Step 3: Cross multiply
    6,965.57x = 9,609.85 × 4,447.80
  4. Step 4: Simplify right side
    6,965.57x = 42,742,620.54
  5. Step 5: Solve for x
    x = 42,742,620.54/6,965.57
  6. Step 6: Final answer
    x = 6,136.27

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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.