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Finding the Fourth Proportional to 7,205.78, 9,943.98 and 3,893.78

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Solution

The fourth proportional to 7,205.78, 9,943.98 and 3,893.78 is: 5,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.78 : 9,943.98 = 3,893.78 : x
  2. Step 2: Convert to fraction form
    7,205.78/9,943.98 = 3,893.78/x
  3. Step 3: Cross multiply
    7,205.78x = 9,943.98 × 3,893.78
  4. Step 4: Simplify right side
    7,205.78x = 38,719,670.44
  5. Step 5: Solve for x
    x = 38,719,670.44/7,205.78
  6. Step 6: Final answer
    x = 5,373.42

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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.