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Finding the Fourth Proportional to 9,194.22, 12,699.64 and 7,996.84

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Solution

The fourth proportional to 9,194.22, 12,699.64 and 7,996.84 is: 11,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.22 : 12,699.64 = 7,996.84 : x
  2. Step 2: Convert to fraction form
    9,194.22/12,699.64 = 7,996.84/x
  3. Step 3: Cross multiply
    9,194.22x = 12,699.64 × 7,996.84
  4. Step 4: Simplify right side
    9,194.22x = 101,556,989.14
  5. Step 5: Solve for x
    x = 101,556,989.14/9,194.22
  6. Step 6: Final answer
    x = 11,045.74

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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.