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Finding the Fourth Proportional to 6,483.06, 9,722.15 and 2,099.34

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Solution

The fourth proportional to 6,483.06, 9,722.15 and 2,099.34 is: 3,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.06 : 9,722.15 = 2,099.34 : x
  2. Step 2: Convert to fraction form
    6,483.06/9,722.15 = 2,099.34/x
  3. Step 3: Cross multiply
    6,483.06x = 9,722.15 × 2,099.34
  4. Step 4: Simplify right side
    6,483.06x = 20,410,087.88
  5. Step 5: Solve for x
    x = 20,410,087.88/6,483.06
  6. Step 6: Final answer
    x = 3,148.22

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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.