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Finding the Fourth Proportional to 36,434.28, 54,647.34 and 9,782.88

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Solution

The fourth proportional to 36,434.28, 54,647.34 and 9,782.88 is: 14,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,434.28 : 54,647.34 = 9,782.88 : x
  2. Step 2: Convert to fraction form
    36,434.28/54,647.34 = 9,782.88/x
  3. Step 3: Cross multiply
    36,434.28x = 54,647.34 × 9,782.88
  4. Step 4: Simplify right side
    36,434.28x = 534,608,369.54
  5. Step 5: Solve for x
    x = 534,608,369.54/36,434.28
  6. Step 6: Final answer
    x = 14,673.22

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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.