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Finding the Fourth Proportional to 8,419, 12,623.64 and 3,739

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Solution

The fourth proportional to 8,419, 12,623.64 and 3,739 is: 5,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419 : 12,623.64 = 3,739 : x
  2. Step 2: Convert to fraction form
    8,419/12,623.64 = 3,739/x
  3. Step 3: Cross multiply
    8,419x = 12,623.64 × 3,739
  4. Step 4: Simplify right side
    8,419x = 47,199,789.96
  5. Step 5: Solve for x
    x = 47,199,789.96/8,419
  6. Step 6: Final answer
    x = 5,606.34

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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.