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Finding the Fourth Proportional to 9,195, 13,794.66 and 3,039

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Solution

The fourth proportional to 9,195, 13,794.66 and 3,039 is: 4,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195 : 13,794.66 = 3,039 : x
  2. Step 2: Convert to fraction form
    9,195/13,794.66 = 3,039/x
  3. Step 3: Cross multiply
    9,195x = 13,794.66 × 3,039
  4. Step 4: Simplify right side
    9,195x = 41,921,971.74
  5. Step 5: Solve for x
    x = 41,921,971.74/9,195
  6. Step 6: Final answer
    x = 4,559.21

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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.