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Finding the Fourth Proportional to 36,947.80, 55,421.98 and 9,245.80

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Solution

The fourth proportional to 36,947.80, 55,421.98 and 9,245.80 is: 13,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947.80 : 55,421.98 = 9,245.80 : x
  2. Step 2: Convert to fraction form
    36,947.80/55,421.98 = 9,245.80/x
  3. Step 3: Cross multiply
    36,947.80x = 55,421.98 × 9,245.80
  4. Step 4: Simplify right side
    36,947.80x = 512,420,542.68
  5. Step 5: Solve for x
    x = 512,420,542.68/36,947.80
  6. Step 6: Final answer
    x = 13,868.77

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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.