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Finding the Fourth Proportional to 6,154.74, 9,230.09 and 2,455.83

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Solution

The fourth proportional to 6,154.74, 9,230.09 and 2,455.83 is: 3,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.74 : 9,230.09 = 2,455.83 : x
  2. Step 2: Convert to fraction form
    6,154.74/9,230.09 = 2,455.83/x
  3. Step 3: Cross multiply
    6,154.74x = 9,230.09 × 2,455.83
  4. Step 4: Simplify right side
    6,154.74x = 22,667,519.65
  5. Step 5: Solve for x
    x = 22,667,519.65/6,154.74
  6. Step 6: Final answer
    x = 3,682.94

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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.