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Finding the Fourth Proportional to 8,744.05, 13,101.49 and 6,142.33

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Solution

The fourth proportional to 8,744.05, 13,101.49 and 6,142.33 is: 9,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.05 : 13,101.49 = 6,142.33 : x
  2. Step 2: Convert to fraction form
    8,744.05/13,101.49 = 6,142.33/x
  3. Step 3: Cross multiply
    8,744.05x = 13,101.49 × 6,142.33
  4. Step 4: Simplify right side
    8,744.05x = 80,473,675.07
  5. Step 5: Solve for x
    x = 80,473,675.07/8,744.05
  6. Step 6: Final answer
    x = 9,203.25

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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.