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Finding the Fourth Proportional to 9,806.07, 14,704.49 and 3,561.68

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Solution

The fourth proportional to 9,806.07, 14,704.49 and 3,561.68 is: 5,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.07 : 14,704.49 = 3,561.68 : x
  2. Step 2: Convert to fraction form
    9,806.07/14,704.49 = 3,561.68/x
  3. Step 3: Cross multiply
    9,806.07x = 14,704.49 × 3,561.68
  4. Step 4: Simplify right side
    9,806.07x = 52,372,676.81
  5. Step 5: Solve for x
    x = 52,372,676.81/9,806.07
  6. Step 6: Final answer
    x = 5,340.84

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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.