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Finding the Fourth Proportional to 6,206.49, 9,309.74 and 4,365.83

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Solution

The fourth proportional to 6,206.49, 9,309.74 and 4,365.83 is: 6,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.49 : 9,309.74 = 4,365.83 : x
  2. Step 2: Convert to fraction form
    6,206.49/9,309.74 = 4,365.83/x
  3. Step 3: Cross multiply
    6,206.49x = 9,309.74 × 4,365.83
  4. Step 4: Simplify right side
    6,206.49x = 40,644,743.63
  5. Step 5: Solve for x
    x = 40,644,743.63/6,206.49
  6. Step 6: Final answer
    x = 6,548.75

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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.