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Finding the Fourth Proportional to 6,484.14, 9,725.79 and 3,194.32

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Solution

The fourth proportional to 6,484.14, 9,725.79 and 3,194.32 is: 4,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.14 : 9,725.79 = 3,194.32 : x
  2. Step 2: Convert to fraction form
    6,484.14/9,725.79 = 3,194.32/x
  3. Step 3: Cross multiply
    6,484.14x = 9,725.79 × 3,194.32
  4. Step 4: Simplify right side
    6,484.14x = 31,067,285.51
  5. Step 5: Solve for x
    x = 31,067,285.51/6,484.14
  6. Step 6: Final answer
    x = 4,791.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.