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Finding the Fourth Proportional to 6,204.40, 9,306.75 and 1,821.99

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Solution

The fourth proportional to 6,204.40, 9,306.75 and 1,821.99 is: 2,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.40 : 9,306.75 = 1,821.99 : x
  2. Step 2: Convert to fraction form
    6,204.40/9,306.75 = 1,821.99/x
  3. Step 3: Cross multiply
    6,204.40x = 9,306.75 × 1,821.99
  4. Step 4: Simplify right side
    6,204.40x = 16,956,836.92
  5. Step 5: Solve for x
    x = 16,956,836.92/6,204.40
  6. Step 6: Final answer
    x = 2,733.04

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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.