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Finding the Fourth Proportional to 8,912.63, 13,364.31 and 4,167.96

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Solution

The fourth proportional to 8,912.63, 13,364.31 and 4,167.96 is: 6,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.63 : 13,364.31 = 4,167.96 : x
  2. Step 2: Convert to fraction form
    8,912.63/13,364.31 = 4,167.96/x
  3. Step 3: Cross multiply
    8,912.63x = 13,364.31 × 4,167.96
  4. Step 4: Simplify right side
    8,912.63x = 55,701,909.51
  5. Step 5: Solve for x
    x = 55,701,909.51/8,912.63
  6. Step 6: Final answer
    x = 6,249.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.