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Finding the Fourth Proportional to 8,973.75, 13,461.17 and 2,817.75

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Solution

The fourth proportional to 8,973.75, 13,461.17 and 2,817.75 is: 4,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.75 : 13,461.17 = 2,817.75 : x
  2. Step 2: Convert to fraction form
    8,973.75/13,461.17 = 2,817.75/x
  3. Step 3: Cross multiply
    8,973.75x = 13,461.17 × 2,817.75
  4. Step 4: Simplify right side
    8,973.75x = 37,930,197.68
  5. Step 5: Solve for x
    x = 37,930,197.68/8,973.75
  6. Step 6: Final answer
    x = 4,226.79

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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.