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Finding the Fourth Proportional to 6,425, 9,640.62 and 2,960.36

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Solution

The fourth proportional to 6,425, 9,640.62 and 2,960.36 is: 4,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425 : 9,640.62 = 2,960.36 : x
  2. Step 2: Convert to fraction form
    6,425/9,640.62 = 2,960.36/x
  3. Step 3: Cross multiply
    6,425x = 9,640.62 × 2,960.36
  4. Step 4: Simplify right side
    6,425x = 28,539,705.82
  5. Step 5: Solve for x
    x = 28,539,705.82/6,425
  6. Step 6: Final answer
    x = 4,441.98

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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.