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Finding the Fourth Proportional to 9,464.58, 14,198.90 and 2,891.25

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Solution

The fourth proportional to 9,464.58, 14,198.90 and 2,891.25 is: 4,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.58 : 14,198.90 = 2,891.25 : x
  2. Step 2: Convert to fraction form
    9,464.58/14,198.90 = 2,891.25/x
  3. Step 3: Cross multiply
    9,464.58x = 14,198.90 × 2,891.25
  4. Step 4: Simplify right side
    9,464.58x = 41,052,555.17
  5. Step 5: Solve for x
    x = 41,052,555.17/9,464.58
  6. Step 6: Final answer
    x = 4,337.49

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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.