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Finding the Fourth Proportional to 8,406.39, 12,598.25 and 3,209.43

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Solution

The fourth proportional to 8,406.39, 12,598.25 and 3,209.43 is: 4,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.39 : 12,598.25 = 3,209.43 : x
  2. Step 2: Convert to fraction form
    8,406.39/12,598.25 = 3,209.43/x
  3. Step 3: Cross multiply
    8,406.39x = 12,598.25 × 3,209.43
  4. Step 4: Simplify right side
    8,406.39x = 40,433,185.45
  5. Step 5: Solve for x
    x = 40,433,185.45/8,406.39
  6. Step 6: Final answer
    x = 4,809.82

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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.