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Finding the Fourth Proportional to 9,464.99, 14,197.07 and 4,198.64

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Solution

The fourth proportional to 9,464.99, 14,197.07 and 4,198.64 is: 6,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.99 : 14,197.07 = 4,198.64 : x
  2. Step 2: Convert to fraction form
    9,464.99/14,197.07 = 4,198.64/x
  3. Step 3: Cross multiply
    9,464.99x = 14,197.07 × 4,198.64
  4. Step 4: Simplify right side
    9,464.99x = 59,608,325.50
  5. Step 5: Solve for x
    x = 59,608,325.50/9,464.99
  6. Step 6: Final answer
    x = 6,297.77

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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.