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Finding the Fourth Proportional to 8,422.74, 12,634.14 and 3,800.34

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Solution

The fourth proportional to 8,422.74, 12,634.14 and 3,800.34 is: 5,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.74 : 12,634.14 = 3,800.34 : x
  2. Step 2: Convert to fraction form
    8,422.74/12,634.14 = 3,800.34/x
  3. Step 3: Cross multiply
    8,422.74x = 12,634.14 × 3,800.34
  4. Step 4: Simplify right side
    8,422.74x = 48,014,027.61
  5. Step 5: Solve for x
    x = 48,014,027.61/8,422.74
  6. Step 6: Final answer
    x = 5,700.52

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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.