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Finding the Fourth Proportional to 8,406.09, 12,609.20 and 2,860.69

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Solution

The fourth proportional to 8,406.09, 12,609.20 and 2,860.69 is: 4,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.09 : 12,609.20 = 2,860.69 : x
  2. Step 2: Convert to fraction form
    8,406.09/12,609.20 = 2,860.69/x
  3. Step 3: Cross multiply
    8,406.09x = 12,609.20 × 2,860.69
  4. Step 4: Simplify right side
    8,406.09x = 36,070,998.04
  5. Step 5: Solve for x
    x = 36,070,998.04/8,406.09
  6. Step 6: Final answer
    x = 4,291.06

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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.