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Finding the Fourth Proportional to 6,206.54, 9,308.43 and 1,822.82

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Solution

The fourth proportional to 6,206.54, 9,308.43 and 1,822.82 is: 2,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.54 : 9,308.43 = 1,822.82 : x
  2. Step 2: Convert to fraction form
    6,206.54/9,308.43 = 1,822.82/x
  3. Step 3: Cross multiply
    6,206.54x = 9,308.43 × 1,822.82
  4. Step 4: Simplify right side
    6,206.54x = 16,967,592.37
  5. Step 5: Solve for x
    x = 16,967,592.37/6,206.54
  6. Step 6: Final answer
    x = 2,733.82

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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.