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Finding the Fourth Proportional to 6,439.74, 9,662.85 and 3,844.50

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Solution

The fourth proportional to 6,439.74, 9,662.85 and 3,844.50 is: 5,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.74 : 9,662.85 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    6,439.74/9,662.85 = 3,844.50/x
  3. Step 3: Cross multiply
    6,439.74x = 9,662.85 × 3,844.50
  4. Step 4: Simplify right side
    6,439.74x = 37,148,826.83
  5. Step 5: Solve for x
    x = 37,148,826.83/6,439.74
  6. Step 6: Final answer
    x = 5,768.68

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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.