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Finding the Fourth Proportional to 9,774.24, 14,662.86 and 3,198.84

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Solution

The fourth proportional to 9,774.24, 14,662.86 and 3,198.84 is: 4,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.24 : 14,662.86 = 3,198.84 : x
  2. Step 2: Convert to fraction form
    9,774.24/14,662.86 = 3,198.84/x
  3. Step 3: Cross multiply
    9,774.24x = 14,662.86 × 3,198.84
  4. Step 4: Simplify right side
    9,774.24x = 46,904,143.08
  5. Step 5: Solve for x
    x = 46,904,143.08/9,774.24
  6. Step 6: Final answer
    x = 4,798.75

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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.