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Finding the Fourth Proportional to 6,969.39, 9,617.50 and 3,782.62

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Solution

The fourth proportional to 6,969.39, 9,617.50 and 3,782.62 is: 5,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.39 : 9,617.50 = 3,782.62 : x
  2. Step 2: Convert to fraction form
    6,969.39/9,617.50 = 3,782.62/x
  3. Step 3: Cross multiply
    6,969.39x = 9,617.50 × 3,782.62
  4. Step 4: Simplify right side
    6,969.39x = 36,379,337.60
  5. Step 5: Solve for x
    x = 36,379,337.60/6,969.39
  6. Step 6: Final answer
    x = 5,219.87

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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.