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Finding the Fourth Proportional to 6,206.56, 9,309.83 and 4,365.90

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Solution

The fourth proportional to 6,206.56, 9,309.83 and 4,365.90 is: 6,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.56 : 9,309.83 = 4,365.90 : x
  2. Step 2: Convert to fraction form
    6,206.56/9,309.83 = 4,365.90/x
  3. Step 3: Cross multiply
    6,206.56x = 9,309.83 × 4,365.90
  4. Step 4: Simplify right side
    6,206.56x = 40,645,764.97
  5. Step 5: Solve for x
    x = 40,645,764.97/6,206.56
  6. Step 6: Final answer
    x = 6,548.84

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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.