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Finding the Fourth Proportional to 8,421.75, 12,634.46 and 3,227.63

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Solution

The fourth proportional to 8,421.75, 12,634.46 and 3,227.63 is: 4,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.75 : 12,634.46 = 3,227.63 : x
  2. Step 2: Convert to fraction form
    8,421.75/12,634.46 = 3,227.63/x
  3. Step 3: Cross multiply
    8,421.75x = 12,634.46 × 3,227.63
  4. Step 4: Simplify right side
    8,421.75x = 40,779,282.82
  5. Step 5: Solve for x
    x = 40,779,282.82/8,421.75
  6. Step 6: Final answer
    x = 4,842.14

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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.