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Finding the Fourth Proportional to 8,420.84, 12,631.27 and 3,739.75

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Solution

The fourth proportional to 8,420.84, 12,631.27 and 3,739.75 is: 5,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.84 : 12,631.27 = 3,739.75 : x
  2. Step 2: Convert to fraction form
    8,420.84/12,631.27 = 3,739.75/x
  3. Step 3: Cross multiply
    8,420.84x = 12,631.27 × 3,739.75
  4. Step 4: Simplify right side
    8,420.84x = 47,237,791.98
  5. Step 5: Solve for x
    x = 47,237,791.98/8,420.84
  6. Step 6: Final answer
    x = 5,609.63

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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.