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Finding the Fourth Proportional to 6,873.81, 9,485.82 and 3,729.99

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Solution

The fourth proportional to 6,873.81, 9,485.82 and 3,729.99 is: 5,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.81 : 9,485.82 = 3,729.99 : x
  2. Step 2: Convert to fraction form
    6,873.81/9,485.82 = 3,729.99/x
  3. Step 3: Cross multiply
    6,873.81x = 9,485.82 × 3,729.99
  4. Step 4: Simplify right side
    6,873.81x = 35,382,013.74
  5. Step 5: Solve for x
    x = 35,382,013.74/6,873.81
  6. Step 6: Final answer
    x = 5,147.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.