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Finding the Fourth Proportional to 9,196.35, 13,794.67 and 4,449.75

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Solution

The fourth proportional to 9,196.35, 13,794.67 and 4,449.75 is: 6,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.35 : 13,794.67 = 4,449.75 : x
  2. Step 2: Convert to fraction form
    9,196.35/13,794.67 = 4,449.75/x
  3. Step 3: Cross multiply
    9,196.35x = 13,794.67 × 4,449.75
  4. Step 4: Simplify right side
    9,196.35x = 61,382,832.83
  5. Step 5: Solve for x
    x = 61,382,832.83/9,196.35
  6. Step 6: Final answer
    x = 6,674.70

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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.