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Finding the Fourth Proportional to 6,131.85, 9,197.79 and 1,514.85

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Solution

The fourth proportional to 6,131.85, 9,197.79 and 1,514.85 is: 2,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.85 : 9,197.79 = 1,514.85 : x
  2. Step 2: Convert to fraction form
    6,131.85/9,197.79 = 1,514.85/x
  3. Step 3: Cross multiply
    6,131.85x = 9,197.79 × 1,514.85
  4. Step 4: Simplify right side
    6,131.85x = 13,933,272.18
  5. Step 5: Solve for x
    x = 13,933,272.18/6,131.85
  6. Step 6: Final answer
    x = 2,272.28

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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.