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Finding the Fourth Proportional to 6,155.30, 9,235.97 and 3,814.68

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Solution

The fourth proportional to 6,155.30, 9,235.97 and 3,814.68 is: 5,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.30 : 9,235.97 = 3,814.68 : x
  2. Step 2: Convert to fraction form
    6,155.30/9,235.97 = 3,814.68/x
  3. Step 3: Cross multiply
    6,155.30x = 9,235.97 × 3,814.68
  4. Step 4: Simplify right side
    6,155.30x = 35,232,299.91
  5. Step 5: Solve for x
    x = 35,232,299.91/6,155.30
  6. Step 6: Final answer
    x = 5,723.89

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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.