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Finding the Fourth Proportional to 6,529.44, 9,797.40 and 4,190.70

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Solution

The fourth proportional to 6,529.44, 9,797.40 and 4,190.70 is: 6,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.44 : 9,797.40 = 4,190.70 : x
  2. Step 2: Convert to fraction form
    6,529.44/9,797.40 = 4,190.70/x
  3. Step 3: Cross multiply
    6,529.44x = 9,797.40 × 4,190.70
  4. Step 4: Simplify right side
    6,529.44x = 41,057,964.18
  5. Step 5: Solve for x
    x = 41,057,964.18/6,529.44
  6. Step 6: Final answer
    x = 6,288.13

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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.