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Finding the Fourth Proportional to 6,949.99, 9,591.03 and 3,806.47

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Solution

The fourth proportional to 6,949.99, 9,591.03 and 3,806.47 is: 5,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.99 : 9,591.03 = 3,806.47 : x
  2. Step 2: Convert to fraction form
    6,949.99/9,591.03 = 3,806.47/x
  3. Step 3: Cross multiply
    6,949.99x = 9,591.03 × 3,806.47
  4. Step 4: Simplify right side
    6,949.99x = 36,507,967.96
  5. Step 5: Solve for x
    x = 36,507,967.96/6,949.99
  6. Step 6: Final answer
    x = 5,252.95

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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.