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Finding the Fourth Proportional to 9,194.16, 12,705.22 and 7,514.97

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Solution

The fourth proportional to 9,194.16, 12,705.22 and 7,514.97 is: 10,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.16 : 12,705.22 = 7,514.97 : x
  2. Step 2: Convert to fraction form
    9,194.16/12,705.22 = 7,514.97/x
  3. Step 3: Cross multiply
    9,194.16x = 12,705.22 × 7,514.97
  4. Step 4: Simplify right side
    9,194.16x = 95,479,347.14
  5. Step 5: Solve for x
    x = 95,479,347.14/9,194.16
  6. Step 6: Final answer
    x = 10,384.78

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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.