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Finding the Fourth Proportional to 9,806.94, 14,690.09 and 4,794.22

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Solution

The fourth proportional to 9,806.94, 14,690.09 and 4,794.22 is: 7,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.94 : 14,690.09 = 4,794.22 : x
  2. Step 2: Convert to fraction form
    9,806.94/14,690.09 = 4,794.22/x
  3. Step 3: Cross multiply
    9,806.94x = 14,690.09 × 4,794.22
  4. Step 4: Simplify right side
    9,806.94x = 70,427,553.63
  5. Step 5: Solve for x
    x = 70,427,553.63/9,806.94
  6. Step 6: Final answer
    x = 7,181.40

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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.