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Finding the Fourth Proportional to 6,364.18, 9,546.24 and 1,981.64

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Solution

The fourth proportional to 6,364.18, 9,546.24 and 1,981.64 is: 2,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.18 : 9,546.24 = 1,981.64 : x
  2. Step 2: Convert to fraction form
    6,364.18/9,546.24 = 1,981.64/x
  3. Step 3: Cross multiply
    6,364.18x = 9,546.24 × 1,981.64
  4. Step 4: Simplify right side
    6,364.18x = 18,917,211.03
  5. Step 5: Solve for x
    x = 18,917,211.03/6,364.18
  6. Step 6: Final answer
    x = 2,972.45

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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.