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Finding the Fourth Proportional to 6,181.02, 9,274.56 and 2,894.31

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Solution

The fourth proportional to 6,181.02, 9,274.56 and 2,894.31 is: 4,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.02 : 9,274.56 = 2,894.31 : x
  2. Step 2: Convert to fraction form
    6,181.02/9,274.56 = 2,894.31/x
  3. Step 3: Cross multiply
    6,181.02x = 9,274.56 × 2,894.31
  4. Step 4: Simplify right side
    6,181.02x = 26,843,451.75
  5. Step 5: Solve for x
    x = 26,843,451.75/6,181.02
  6. Step 6: Final answer
    x = 4,342.88

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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.