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Finding the Fourth Proportional to 6,698.70, 9,244.08 and 3,673.83

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Solution

The fourth proportional to 6,698.70, 9,244.08 and 3,673.83 is: 5,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.70 : 9,244.08 = 3,673.83 : x
  2. Step 2: Convert to fraction form
    6,698.70/9,244.08 = 3,673.83/x
  3. Step 3: Cross multiply
    6,698.70x = 9,244.08 × 3,673.83
  4. Step 4: Simplify right side
    6,698.70x = 33,961,178.43
  5. Step 5: Solve for x
    x = 33,961,178.43/6,698.70
  6. Step 6: Final answer
    x = 5,069.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.