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Finding the Fourth Proportional to 9,206.81, 13,806.10 and 3,359.32

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Solution

The fourth proportional to 9,206.81, 13,806.10 and 3,359.32 is: 5,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.81 : 13,806.10 = 3,359.32 : x
  2. Step 2: Convert to fraction form
    9,206.81/13,806.10 = 3,359.32/x
  3. Step 3: Cross multiply
    9,206.81x = 13,806.10 × 3,359.32
  4. Step 4: Simplify right side
    9,206.81x = 46,379,107.85
  5. Step 5: Solve for x
    x = 46,379,107.85/9,206.81
  6. Step 6: Final answer
    x = 5,037.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.