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Finding the Fourth Proportional to 6,234.56, 9,351.30 and 2,074.40

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Solution

The fourth proportional to 6,234.56, 9,351.30 and 2,074.40 is: 3,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.56 : 9,351.30 = 2,074.40 : x
  2. Step 2: Convert to fraction form
    6,234.56/9,351.30 = 2,074.40/x
  3. Step 3: Cross multiply
    6,234.56x = 9,351.30 × 2,074.40
  4. Step 4: Simplify right side
    6,234.56x = 19,398,336.72
  5. Step 5: Solve for x
    x = 19,398,336.72/6,234.56
  6. Step 6: Final answer
    x = 3,111.42

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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.