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Finding the Fourth Proportional to 9,424.44, 14,137.16 and 2,850.46

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Solution

The fourth proportional to 9,424.44, 14,137.16 and 2,850.46 is: 4,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.44 : 14,137.16 = 2,850.46 : x
  2. Step 2: Convert to fraction form
    9,424.44/14,137.16 = 2,850.46/x
  3. Step 3: Cross multiply
    9,424.44x = 14,137.16 × 2,850.46
  4. Step 4: Simplify right side
    9,424.44x = 40,297,359.50
  5. Step 5: Solve for x
    x = 40,297,359.50/9,424.44
  6. Step 6: Final answer
    x = 4,275.84

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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.