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Finding the Fourth Proportional to 6,911.78, 9,535.54 and 3,886.20

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Solution

The fourth proportional to 6,911.78, 9,535.54 and 3,886.20 is: 5,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.78 : 9,535.54 = 3,886.20 : x
  2. Step 2: Convert to fraction form
    6,911.78/9,535.54 = 3,886.20/x
  3. Step 3: Cross multiply
    6,911.78x = 9,535.54 × 3,886.20
  4. Step 4: Simplify right side
    6,911.78x = 37,057,015.55
  5. Step 5: Solve for x
    x = 37,057,015.55/6,911.78
  6. Step 6: Final answer
    x = 5,361.43

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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.