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Finding the Fourth Proportional to 6,873.56, 9,485.54 and 3,729.77

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Solution

The fourth proportional to 6,873.56, 9,485.54 and 3,729.77 is: 5,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.56 : 9,485.54 = 3,729.77 : x
  2. Step 2: Convert to fraction form
    6,873.56/9,485.54 = 3,729.77/x
  3. Step 3: Cross multiply
    6,873.56x = 9,485.54 × 3,729.77
  4. Step 4: Simplify right side
    6,873.56x = 35,378,816.45
  5. Step 5: Solve for x
    x = 35,378,816.45/6,873.56
  6. Step 6: Final answer
    x = 5,147.09

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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.