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Finding the Fourth Proportional to 12,097.89, 16,695.09 and 6,794.42

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Solution

The fourth proportional to 12,097.89, 16,695.09 and 6,794.42 is: 9,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.89 : 16,695.09 = 6,794.42 : x
  2. Step 2: Convert to fraction form
    12,097.89/16,695.09 = 6,794.42/x
  3. Step 3: Cross multiply
    12,097.89x = 16,695.09 × 6,794.42
  4. Step 4: Simplify right side
    12,097.89x = 113,433,369.92
  5. Step 5: Solve for x
    x = 113,433,369.92/12,097.89
  6. Step 6: Final answer
    x = 9,376.29

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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.