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Finding the Fourth Proportional to 6,219.70, 9,322.78 and 3,102.02

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Solution

The fourth proportional to 6,219.70, 9,322.78 and 3,102.02 is: 4,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.70 : 9,322.78 = 3,102.02 : x
  2. Step 2: Convert to fraction form
    6,219.70/9,322.78 = 3,102.02/x
  3. Step 3: Cross multiply
    6,219.70x = 9,322.78 × 3,102.02
  4. Step 4: Simplify right side
    6,219.70x = 28,919,450.02
  5. Step 5: Solve for x
    x = 28,919,450.02/6,219.70
  6. Step 6: Final answer
    x = 4,649.65

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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.