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Finding the Fourth Proportional to 9,142.21, 12,622.35 and 8,514.35

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Solution

The fourth proportional to 9,142.21, 12,622.35 and 8,514.35 is: 11,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.21 : 12,622.35 = 8,514.35 : x
  2. Step 2: Convert to fraction form
    9,142.21/12,622.35 = 8,514.35/x
  3. Step 3: Cross multiply
    9,142.21x = 12,622.35 × 8,514.35
  4. Step 4: Simplify right side
    9,142.21x = 107,471,105.72
  5. Step 5: Solve for x
    x = 107,471,105.72/9,142.21
  6. Step 6: Final answer
    x = 11,755.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.