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Finding the Fourth Proportional to 9,834.28, 13,576.83 and 6,813.79

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Solution

The fourth proportional to 9,834.28, 13,576.83 and 6,813.79 is: 9,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.28 : 13,576.83 = 6,813.79 : x
  2. Step 2: Convert to fraction form
    9,834.28/13,576.83 = 6,813.79/x
  3. Step 3: Cross multiply
    9,834.28x = 13,576.83 × 6,813.79
  4. Step 4: Simplify right side
    9,834.28x = 92,509,668.49
  5. Step 5: Solve for x
    x = 92,509,668.49/9,834.28
  6. Step 6: Final answer
    x = 9,406.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.