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Finding the Fourth Proportional to 8,309.39, 12,462.46 and 2,466.05

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Solution

The fourth proportional to 8,309.39, 12,462.46 and 2,466.05 is: 3,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.39 : 12,462.46 = 2,466.05 : x
  2. Step 2: Convert to fraction form
    8,309.39/12,462.46 = 2,466.05/x
  3. Step 3: Cross multiply
    8,309.39x = 12,462.46 × 2,466.05
  4. Step 4: Simplify right side
    8,309.39x = 30,732,981.01
  5. Step 5: Solve for x
    x = 30,732,981.01/8,309.39
  6. Step 6: Final answer
    x = 3,698.59

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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.