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Finding the Fourth Proportional to 8,431.94, 12,638.43 and 3,161.84

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Solution

The fourth proportional to 8,431.94, 12,638.43 and 3,161.84 is: 4,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.94 : 12,638.43 = 3,161.84 : x
  2. Step 2: Convert to fraction form
    8,431.94/12,638.43 = 3,161.84/x
  3. Step 3: Cross multiply
    8,431.94x = 12,638.43 × 3,161.84
  4. Step 4: Simplify right side
    8,431.94x = 39,960,693.51
  5. Step 5: Solve for x
    x = 39,960,693.51/8,431.94
  6. Step 6: Final answer
    x = 4,739.21

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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.