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Finding the Fourth Proportional to 12,609.40, 18,914.10 and 3,844.30

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Solution

The fourth proportional to 12,609.40, 18,914.10 and 3,844.30 is: 5,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.40 : 18,914.10 = 3,844.30 : x
  2. Step 2: Convert to fraction form
    12,609.40/18,914.10 = 3,844.30/x
  3. Step 3: Cross multiply
    12,609.40x = 18,914.10 × 3,844.30
  4. Step 4: Simplify right side
    12,609.40x = 72,711,474.63
  5. Step 5: Solve for x
    x = 72,711,474.63/12,609.40
  6. Step 6: Final answer
    x = 5,766.45

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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.