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Finding the Fourth Proportional to 6,546.33, 9,822.09 and 2,386.62

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Solution

The fourth proportional to 6,546.33, 9,822.09 and 2,386.62 is: 3,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.33 : 9,822.09 = 2,386.62 : x
  2. Step 2: Convert to fraction form
    6,546.33/9,822.09 = 2,386.62/x
  3. Step 3: Cross multiply
    6,546.33x = 9,822.09 × 2,386.62
  4. Step 4: Simplify right side
    6,546.33x = 23,441,596.44
  5. Step 5: Solve for x
    x = 23,441,596.44/6,546.33
  6. Step 6: Final answer
    x = 3,580.88

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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.