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Finding the Fourth Proportional to 6,548.16, 9,822.27 and 3,429.09

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Solution

The fourth proportional to 6,548.16, 9,822.27 and 3,429.09 is: 5,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.16 : 9,822.27 = 3,429.09 : x
  2. Step 2: Convert to fraction form
    6,548.16/9,822.27 = 3,429.09/x
  3. Step 3: Cross multiply
    6,548.16x = 9,822.27 × 3,429.09
  4. Step 4: Simplify right side
    6,548.16x = 33,681,447.83
  5. Step 5: Solve for x
    x = 33,681,447.83/6,548.16
  6. Step 6: Final answer
    x = 5,143.65

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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.