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Finding the Fourth Proportional to 6,546.69, 9,818.96 and 2,847.96

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Solution

The fourth proportional to 6,546.69, 9,818.96 and 2,847.96 is: 4,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.69 : 9,818.96 = 2,847.96 : x
  2. Step 2: Convert to fraction form
    6,546.69/9,818.96 = 2,847.96/x
  3. Step 3: Cross multiply
    6,546.69x = 9,818.96 × 2,847.96
  4. Step 4: Simplify right side
    6,546.69x = 27,963,991.08
  5. Step 5: Solve for x
    x = 27,963,991.08/6,546.69
  6. Step 6: Final answer
    x = 4,271.47

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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.