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Finding the Fourth Proportional to 6,694.29, 9,237.60 and 3,709.89

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Solution

The fourth proportional to 6,694.29, 9,237.60 and 3,709.89 is: 5,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.29 : 9,237.60 = 3,709.89 : x
  2. Step 2: Convert to fraction form
    6,694.29/9,237.60 = 3,709.89/x
  3. Step 3: Cross multiply
    6,694.29x = 9,237.60 × 3,709.89
  4. Step 4: Simplify right side
    6,694.29x = 34,270,479.86
  5. Step 5: Solve for x
    x = 34,270,479.86/6,694.29
  6. Step 6: Final answer
    x = 5,119.36

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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.