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Finding the Fourth Proportional to 6,412.04, 9,617.87 and 3,496.04

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Solution

The fourth proportional to 6,412.04, 9,617.87 and 3,496.04 is: 5,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.04 : 9,617.87 = 3,496.04 : x
  2. Step 2: Convert to fraction form
    6,412.04/9,617.87 = 3,496.04/x
  3. Step 3: Cross multiply
    6,412.04x = 9,617.87 × 3,496.04
  4. Step 4: Simplify right side
    6,412.04x = 33,624,418.89
  5. Step 5: Solve for x
    x = 33,624,418.89/6,412.04
  6. Step 6: Final answer
    x = 5,243.95

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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.