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Finding the Fourth Proportional to 6,696.91, 10,039.69 and 4,094.38

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Solution

The fourth proportional to 6,696.91, 10,039.69 and 4,094.38 is: 6,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.91 : 10,039.69 = 4,094.38 : x
  2. Step 2: Convert to fraction form
    6,696.91/10,039.69 = 4,094.38/x
  3. Step 3: Cross multiply
    6,696.91x = 10,039.69 × 4,094.38
  4. Step 4: Simplify right side
    6,696.91x = 41,106,235.27
  5. Step 5: Solve for x
    x = 41,106,235.27/6,696.91
  6. Step 6: Final answer
    x = 6,138.09

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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.