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Finding the Fourth Proportional to 9,296.14, 12,823.92 and 5,935.42

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Solution

The fourth proportional to 9,296.14, 12,823.92 and 5,935.42 is: 8,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.14 : 12,823.92 = 5,935.42 : x
  2. Step 2: Convert to fraction form
    9,296.14/12,823.92 = 5,935.42/x
  3. Step 3: Cross multiply
    9,296.14x = 12,823.92 × 5,935.42
  4. Step 4: Simplify right side
    9,296.14x = 76,115,351.25
  5. Step 5: Solve for x
    x = 76,115,351.25/9,296.14
  6. Step 6: Final answer
    x = 8,187.84

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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.