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Finding the Fourth Proportional to 9,806.10, 14,684.24 and 5,418.75

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Solution

The fourth proportional to 9,806.10, 14,684.24 and 5,418.75 is: 8,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.10 : 14,684.24 = 5,418.75 : x
  2. Step 2: Convert to fraction form
    9,806.10/14,684.24 = 5,418.75/x
  3. Step 3: Cross multiply
    9,806.10x = 14,684.24 × 5,418.75
  4. Step 4: Simplify right side
    9,806.10x = 79,570,198.41
  5. Step 5: Solve for x
    x = 79,570,198.41/9,806.10
  6. Step 6: Final answer
    x = 8,114.36

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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.