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Finding the Fourth Proportional to 9,772.56, 14,657.28 and 2,845.44

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Solution

The fourth proportional to 9,772.56, 14,657.28 and 2,845.44 is: 4,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.56 : 14,657.28 = 2,845.44 : x
  2. Step 2: Convert to fraction form
    9,772.56/14,657.28 = 2,845.44/x
  3. Step 3: Cross multiply
    9,772.56x = 14,657.28 × 2,845.44
  4. Step 4: Simplify right side
    9,772.56x = 41,706,410.80
  5. Step 5: Solve for x
    x = 41,706,410.80/9,772.56
  6. Step 6: Final answer
    x = 4,267.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.