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Finding the Fourth Proportional to 6,367.94, 9,548.20 and 1,924.28

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Solution

The fourth proportional to 6,367.94, 9,548.20 and 1,924.28 is: 2,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.94 : 9,548.20 = 1,924.28 : x
  2. Step 2: Convert to fraction form
    6,367.94/9,548.20 = 1,924.28/x
  3. Step 3: Cross multiply
    6,367.94x = 9,548.20 × 1,924.28
  4. Step 4: Simplify right side
    6,367.94x = 18,373,410.30
  5. Step 5: Solve for x
    x = 18,373,410.30/6,367.94
  6. Step 6: Final answer
    x = 2,885.30

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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.