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Finding the Fourth Proportional to 9,342.09, 14,013.11 and 3,794.14

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Solution

The fourth proportional to 9,342.09, 14,013.11 and 3,794.14 is: 5,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.09 : 14,013.11 = 3,794.14 : x
  2. Step 2: Convert to fraction form
    9,342.09/14,013.11 = 3,794.14/x
  3. Step 3: Cross multiply
    9,342.09x = 14,013.11 × 3,794.14
  4. Step 4: Simplify right side
    9,342.09x = 53,167,631.11
  5. Step 5: Solve for x
    x = 53,167,631.11/9,342.09
  6. Step 6: Final answer
    x = 5,691.19

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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.