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Finding the Fourth Proportional to 6,137.68, 9,206.54 and 2,439.89

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Solution

The fourth proportional to 6,137.68, 9,206.54 and 2,439.89 is: 3,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.68 : 9,206.54 = 2,439.89 : x
  2. Step 2: Convert to fraction form
    6,137.68/9,206.54 = 2,439.89/x
  3. Step 3: Cross multiply
    6,137.68x = 9,206.54 × 2,439.89
  4. Step 4: Simplify right side
    6,137.68x = 22,462,886.65
  5. Step 5: Solve for x
    x = 22,462,886.65/6,137.68
  6. Step 6: Final answer
    x = 3,659.83

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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.