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Finding the Fourth Proportional to 6,426.84, 9,636.78 and 2,961

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Solution

The fourth proportional to 6,426.84, 9,636.78 and 2,961 is: 4,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.84 : 9,636.78 = 2,961 : x
  2. Step 2: Convert to fraction form
    6,426.84/9,636.78 = 2,961/x
  3. Step 3: Cross multiply
    6,426.84x = 9,636.78 × 2,961
  4. Step 4: Simplify right side
    6,426.84x = 28,534,505.58
  5. Step 5: Solve for x
    x = 28,534,505.58/6,426.84
  6. Step 6: Final answer
    x = 4,439.90

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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.