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Finding the Fourth Proportional to 9,020.22, 13,514.85 and 8,107.17

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Solution

The fourth proportional to 9,020.22, 13,514.85 and 8,107.17 is: 12,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.22 : 13,514.85 = 8,107.17 : x
  2. Step 2: Convert to fraction form
    9,020.22/13,514.85 = 8,107.17/x
  3. Step 3: Cross multiply
    9,020.22x = 13,514.85 × 8,107.17
  4. Step 4: Simplify right side
    9,020.22x = 109,567,186.47
  5. Step 5: Solve for x
    x = 109,567,186.47/9,020.22
  6. Step 6: Final answer
    x = 12,146.84

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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.