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Finding the Fourth Proportional to 6,206.56, 9,306.22 and 2,045.44

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Solution

The fourth proportional to 6,206.56, 9,306.22 and 2,045.44 is: 3,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.56 : 9,306.22 = 2,045.44 : x
  2. Step 2: Convert to fraction form
    6,206.56/9,306.22 = 2,045.44/x
  3. Step 3: Cross multiply
    6,206.56x = 9,306.22 × 2,045.44
  4. Step 4: Simplify right side
    6,206.56x = 19,035,314.64
  5. Step 5: Solve for x
    x = 19,035,314.64/6,206.56
  6. Step 6: Final answer
    x = 3,066.97

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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.