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Finding the Fourth Proportional to 6,548.86, 9,796.29 and 4,205.26

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Solution

The fourth proportional to 6,548.86, 9,796.29 and 4,205.26 is: 6,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.86 : 9,796.29 = 4,205.26 : x
  2. Step 2: Convert to fraction form
    6,548.86/9,796.29 = 4,205.26/x
  3. Step 3: Cross multiply
    6,548.86x = 9,796.29 × 4,205.26
  4. Step 4: Simplify right side
    6,548.86x = 41,195,946.49
  5. Step 5: Solve for x
    x = 41,195,946.49/6,548.86
  6. Step 6: Final answer
    x = 6,290.55

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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.