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Finding the Fourth Proportional to 6,364.44, 9,546.21 and 1,981.35

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Solution

The fourth proportional to 6,364.44, 9,546.21 and 1,981.35 is: 2,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.44 : 9,546.21 = 1,981.35 : x
  2. Step 2: Convert to fraction form
    6,364.44/9,546.21 = 1,981.35/x
  3. Step 3: Cross multiply
    6,364.44x = 9,546.21 × 1,981.35
  4. Step 4: Simplify right side
    6,364.44x = 18,914,383.18
  5. Step 5: Solve for x
    x = 18,914,383.18/6,364.44
  6. Step 6: Final answer
    x = 2,971.88

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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.