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Finding the Fourth Proportional to 6,328.34, 9,494.96 and 2,629.62

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Solution

The fourth proportional to 6,328.34, 9,494.96 and 2,629.62 is: 3,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.34 : 9,494.96 = 2,629.62 : x
  2. Step 2: Convert to fraction form
    6,328.34/9,494.96 = 2,629.62/x
  3. Step 3: Cross multiply
    6,328.34x = 9,494.96 × 2,629.62
  4. Step 4: Simplify right side
    6,328.34x = 24,968,136.72
  5. Step 5: Solve for x
    x = 24,968,136.72/6,328.34
  6. Step 6: Final answer
    x = 3,945.45

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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.