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Finding the Fourth Proportional to 6,344.80, 9,513.96 and 2,450.32

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Solution

The fourth proportional to 6,344.80, 9,513.96 and 2,450.32 is: 3,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.80 : 9,513.96 = 2,450.32 : x
  2. Step 2: Convert to fraction form
    6,344.80/9,513.96 = 2,450.32/x
  3. Step 3: Cross multiply
    6,344.80x = 9,513.96 × 2,450.32
  4. Step 4: Simplify right side
    6,344.80x = 23,312,246.47
  5. Step 5: Solve for x
    x = 23,312,246.47/6,344.80
  6. Step 6: Final answer
    x = 3,674.23

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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.