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Finding the Fourth Proportional to 6,144.60, 9,219.06 and 3,222.84

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Solution

The fourth proportional to 6,144.60, 9,219.06 and 3,222.84 is: 4,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.60 : 9,219.06 = 3,222.84 : x
  2. Step 2: Convert to fraction form
    6,144.60/9,219.06 = 3,222.84/x
  3. Step 3: Cross multiply
    6,144.60x = 9,219.06 × 3,222.84
  4. Step 4: Simplify right side
    6,144.60x = 29,711,555.33
  5. Step 5: Solve for x
    x = 29,711,555.33/6,144.60
  6. Step 6: Final answer
    x = 4,835.39

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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.