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Finding the Fourth Proportional to 6,548.20, 9,822.30 and 3,956.20

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Solution

The fourth proportional to 6,548.20, 9,822.30 and 3,956.20 is: 5,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.20 : 9,822.30 = 3,956.20 : x
  2. Step 2: Convert to fraction form
    6,548.20/9,822.30 = 3,956.20/x
  3. Step 3: Cross multiply
    6,548.20x = 9,822.30 × 3,956.20
  4. Step 4: Simplify right side
    6,548.20x = 38,858,983.26
  5. Step 5: Solve for x
    x = 38,858,983.26/6,548.20
  6. Step 6: Final answer
    x = 5,934.30

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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.