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Finding the Fourth Proportional to 6,278.62, 9,419.58 and 1,896.20

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Solution

The fourth proportional to 6,278.62, 9,419.58 and 1,896.20 is: 2,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.62 : 9,419.58 = 1,896.20 : x
  2. Step 2: Convert to fraction form
    6,278.62/9,419.58 = 1,896.20/x
  3. Step 3: Cross multiply
    6,278.62x = 9,419.58 × 1,896.20
  4. Step 4: Simplify right side
    6,278.62x = 17,861,407.60
  5. Step 5: Solve for x
    x = 17,861,407.60/6,278.62
  6. Step 6: Final answer
    x = 2,844.80

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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.