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Finding the Fourth Proportional to 6,144.56, 9,200.77 and 3,365.45

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Solution

The fourth proportional to 6,144.56, 9,200.77 and 3,365.45 is: 5,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.56 : 9,200.77 = 3,365.45 : x
  2. Step 2: Convert to fraction form
    6,144.56/9,200.77 = 3,365.45/x
  3. Step 3: Cross multiply
    6,144.56x = 9,200.77 × 3,365.45
  4. Step 4: Simplify right side
    6,144.56x = 30,964,676.98
  5. Step 5: Solve for x
    x = 30,964,676.98/6,144.56
  6. Step 6: Final answer
    x = 5,039.37

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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.