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Finding the Fourth Proportional to 36,947.56, 55,421.34 and 9,245.56

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Solution

The fourth proportional to 36,947.56, 55,421.34 and 9,245.56 is: 13,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947.56 : 55,421.34 = 9,245.56 : x
  2. Step 2: Convert to fraction form
    36,947.56/55,421.34 = 9,245.56/x
  3. Step 3: Cross multiply
    36,947.56x = 55,421.34 × 9,245.56
  4. Step 4: Simplify right side
    36,947.56x = 512,401,324.25
  5. Step 5: Solve for x
    x = 512,401,324.25/36,947.56
  6. Step 6: Final answer
    x = 13,868.34

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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.