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Finding the Fourth Proportional to 6,297.80, 9,450.42 and 2,402.60

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Solution

The fourth proportional to 6,297.80, 9,450.42 and 2,402.60 is: 3,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.80 : 9,450.42 = 2,402.60 : x
  2. Step 2: Convert to fraction form
    6,297.80/9,450.42 = 2,402.60/x
  3. Step 3: Cross multiply
    6,297.80x = 9,450.42 × 2,402.60
  4. Step 4: Simplify right side
    6,297.80x = 22,705,579.09
  5. Step 5: Solve for x
    x = 22,705,579.09/6,297.80
  6. Step 6: Final answer
    x = 3,605.32

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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.