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Finding the Fourth Proportional to 6,439.49, 9,658.09 and 2,928.67

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Solution

The fourth proportional to 6,439.49, 9,658.09 and 2,928.67 is: 4,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.49 : 9,658.09 = 2,928.67 : x
  2. Step 2: Convert to fraction form
    6,439.49/9,658.09 = 2,928.67/x
  3. Step 3: Cross multiply
    6,439.49x = 9,658.09 × 2,928.67
  4. Step 4: Simplify right side
    6,439.49x = 28,285,295.51
  5. Step 5: Solve for x
    x = 28,285,295.51/6,439.49
  6. Step 6: Final answer
    x = 4,392.48

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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.