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Finding the Fourth Proportional to 9,213.80, 13,805.90 and 5,514.28

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Solution

The fourth proportional to 9,213.80, 13,805.90 and 5,514.28 is: 8,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.80 : 13,805.90 = 5,514.28 : x
  2. Step 2: Convert to fraction form
    9,213.80/13,805.90 = 5,514.28/x
  3. Step 3: Cross multiply
    9,213.80x = 13,805.90 × 5,514.28
  4. Step 4: Simplify right side
    9,213.80x = 76,129,598.25
  5. Step 5: Solve for x
    x = 76,129,598.25/9,213.80
  6. Step 6: Final answer
    x = 8,262.56

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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.