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Finding the Fourth Proportional to 6,314.22, 9,467.46 and 2,619

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Solution

The fourth proportional to 6,314.22, 9,467.46 and 2,619 is: 3,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.22 : 9,467.46 = 2,619 : x
  2. Step 2: Convert to fraction form
    6,314.22/9,467.46 = 2,619/x
  3. Step 3: Cross multiply
    6,314.22x = 9,467.46 × 2,619
  4. Step 4: Simplify right side
    6,314.22x = 24,795,277.74
  5. Step 5: Solve for x
    x = 24,795,277.74/6,314.22
  6. Step 6: Final answer
    x = 3,926.89

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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.