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Finding the Fourth Proportional to 6,299.09, 9,448.58 and 3,834.59

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Solution

The fourth proportional to 6,299.09, 9,448.58 and 3,834.59 is: 5,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.09 : 9,448.58 = 3,834.59 : x
  2. Step 2: Convert to fraction form
    6,299.09/9,448.58 = 3,834.59/x
  3. Step 3: Cross multiply
    6,299.09x = 9,448.58 × 3,834.59
  4. Step 4: Simplify right side
    6,299.09x = 36,231,411.21
  5. Step 5: Solve for x
    x = 36,231,411.21/6,299.09
  6. Step 6: Final answer
    x = 5,751.85

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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.