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Finding the Fourth Proportional to 7,067.82, 9,753.93 and 4,084.05

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Solution

The fourth proportional to 7,067.82, 9,753.93 and 4,084.05 is: 5,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.82 : 9,753.93 = 4,084.05 : x
  2. Step 2: Convert to fraction form
    7,067.82/9,753.93 = 4,084.05/x
  3. Step 3: Cross multiply
    7,067.82x = 9,753.93 × 4,084.05
  4. Step 4: Simplify right side
    7,067.82x = 39,835,537.82
  5. Step 5: Solve for x
    x = 39,835,537.82/7,067.82
  6. Step 6: Final answer
    x = 5,636.18

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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.