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Finding the Fourth Proportional to 8,765.20, 13,122.20 and 8,509.20

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Solution

The fourth proportional to 8,765.20, 13,122.20 and 8,509.20 is: 12,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.20 : 13,122.20 = 8,509.20 : x
  2. Step 2: Convert to fraction form
    8,765.20/13,122.20 = 8,509.20/x
  3. Step 3: Cross multiply
    8,765.20x = 13,122.20 × 8,509.20
  4. Step 4: Simplify right side
    8,765.20x = 111,659,424.24
  5. Step 5: Solve for x
    x = 111,659,424.24/8,765.20
  6. Step 6: Final answer
    x = 12,738.95

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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.