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Finding the Fourth Proportional to 6,873.48, 9,485.43 and 3,729.69

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Solution

The fourth proportional to 6,873.48, 9,485.43 and 3,729.69 is: 5,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.48 : 9,485.43 = 3,729.69 : x
  2. Step 2: Convert to fraction form
    6,873.48/9,485.43 = 3,729.69/x
  3. Step 3: Cross multiply
    6,873.48x = 9,485.43 × 3,729.69
  4. Step 4: Simplify right side
    6,873.48x = 35,377,713.42
  5. Step 5: Solve for x
    x = 35,377,713.42/6,873.48
  6. Step 6: Final answer
    x = 5,146.99

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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.