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Finding the Fourth Proportional to 9,849.33, 14,776.74 and 5,469.87

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Solution

The fourth proportional to 9,849.33, 14,776.74 and 5,469.87 is: 8,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.33 : 14,776.74 = 5,469.87 : x
  2. Step 2: Convert to fraction form
    9,849.33/14,776.74 = 5,469.87/x
  3. Step 3: Cross multiply
    9,849.33x = 14,776.74 × 5,469.87
  4. Step 4: Simplify right side
    9,849.33x = 80,826,770.90
  5. Step 5: Solve for x
    x = 80,826,770.90/9,849.33
  6. Step 6: Final answer
    x = 8,206.32

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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.