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Finding the Fourth Proportional to 6,206.40, 8,561.16 and 3,846.84

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Solution

The fourth proportional to 6,206.40, 8,561.16 and 3,846.84 is: 5,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.40 : 8,561.16 = 3,846.84 : x
  2. Step 2: Convert to fraction form
    6,206.40/8,561.16 = 3,846.84/x
  3. Step 3: Cross multiply
    6,206.40x = 8,561.16 × 3,846.84
  4. Step 4: Simplify right side
    6,206.40x = 32,933,412.73
  5. Step 5: Solve for x
    x = 32,933,412.73/6,206.40
  6. Step 6: Final answer
    x = 5,306.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.