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Finding the Fourth Proportional to 9,206.20, 13,801.20 and 5,509.90

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Solution

The fourth proportional to 9,206.20, 13,801.20 and 5,509.90 is: 8,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.20 : 13,801.20 = 5,509.90 : x
  2. Step 2: Convert to fraction form
    9,206.20/13,801.20 = 5,509.90/x
  3. Step 3: Cross multiply
    9,206.20x = 13,801.20 × 5,509.90
  4. Step 4: Simplify right side
    9,206.20x = 76,043,231.88
  5. Step 5: Solve for x
    x = 76,043,231.88/9,206.20
  6. Step 6: Final answer
    x = 8,260.00

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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.