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Finding the Fourth Proportional to 6,494.38, 9,738.63 and 3,206.18

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Solution

The fourth proportional to 6,494.38, 9,738.63 and 3,206.18 is: 4,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.38 : 9,738.63 = 3,206.18 : x
  2. Step 2: Convert to fraction form
    6,494.38/9,738.63 = 3,206.18/x
  3. Step 3: Cross multiply
    6,494.38x = 9,738.63 × 3,206.18
  4. Step 4: Simplify right side
    6,494.38x = 31,223,825.08
  5. Step 5: Solve for x
    x = 31,223,825.08/6,494.38
  6. Step 6: Final answer
    x = 4,807.82

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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.