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Finding the Fourth Proportional to 6,873.14, 9,484.89 and 3,729.26

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Solution

The fourth proportional to 6,873.14, 9,484.89 and 3,729.26 is: 5,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.14 : 9,484.89 = 3,729.26 : x
  2. Step 2: Convert to fraction form
    6,873.14/9,484.89 = 3,729.26/x
  3. Step 3: Cross multiply
    6,873.14x = 9,484.89 × 3,729.26
  4. Step 4: Simplify right side
    6,873.14x = 35,371,620.88
  5. Step 5: Solve for x
    x = 35,371,620.88/6,873.14
  6. Step 6: Final answer
    x = 5,146.36

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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.