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Finding the Fourth Proportional to 6,366.20, 9,549.81 and 2,419.34

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Solution

The fourth proportional to 6,366.20, 9,549.81 and 2,419.34 is: 3,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.20 : 9,549.81 = 2,419.34 : x
  2. Step 2: Convert to fraction form
    6,366.20/9,549.81 = 2,419.34/x
  3. Step 3: Cross multiply
    6,366.20x = 9,549.81 × 2,419.34
  4. Step 4: Simplify right side
    6,366.20x = 23,104,237.33
  5. Step 5: Solve for x
    x = 23,104,237.33/6,366.20
  6. Step 6: Final answer
    x = 3,629.20

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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.