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Finding the Fourth Proportional to 6,206.47, 9,311.49 and 1,823.92

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Solution

The fourth proportional to 6,206.47, 9,311.49 and 1,823.92 is: 2,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.47 : 9,311.49 = 1,823.92 : x
  2. Step 2: Convert to fraction form
    6,206.47/9,311.49 = 1,823.92/x
  3. Step 3: Cross multiply
    6,206.47x = 9,311.49 × 1,823.92
  4. Step 4: Simplify right side
    6,206.47x = 16,983,456.18
  5. Step 5: Solve for x
    x = 16,983,456.18/6,206.47
  6. Step 6: Final answer
    x = 2,736.41

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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.