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Finding the Fourth Proportional to 8,206.36, 12,309.43 and 3,762.76

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Solution

The fourth proportional to 8,206.36, 12,309.43 and 3,762.76 is: 5,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.36 : 12,309.43 = 3,762.76 : x
  2. Step 2: Convert to fraction form
    8,206.36/12,309.43 = 3,762.76/x
  3. Step 3: Cross multiply
    8,206.36x = 12,309.43 × 3,762.76
  4. Step 4: Simplify right side
    8,206.36x = 46,317,434.73
  5. Step 5: Solve for x
    x = 46,317,434.73/8,206.36
  6. Step 6: Final answer
    x = 5,644.09

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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.