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Finding the Fourth Proportional to 6,203.60, 9,306.92 and 1,821.05

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Solution

The fourth proportional to 6,203.60, 9,306.92 and 1,821.05 is: 2,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.60 : 9,306.92 = 1,821.05 : x
  2. Step 2: Convert to fraction form
    6,203.60/9,306.92 = 1,821.05/x
  3. Step 3: Cross multiply
    6,203.60x = 9,306.92 × 1,821.05
  4. Step 4: Simplify right side
    6,203.60x = 16,948,394.49
  5. Step 5: Solve for x
    x = 16,948,394.49/6,203.60
  6. Step 6: Final answer
    x = 2,732.03

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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.