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Finding the Fourth Proportional to 6,684.08, 9,226.08 and 3,853.35

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Solution

The fourth proportional to 6,684.08, 9,226.08 and 3,853.35 is: 5,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.08 : 9,226.08 = 3,853.35 : x
  2. Step 2: Convert to fraction form
    6,684.08/9,226.08 = 3,853.35/x
  3. Step 3: Cross multiply
    6,684.08x = 9,226.08 × 3,853.35
  4. Step 4: Simplify right side
    6,684.08x = 35,551,315.37
  5. Step 5: Solve for x
    x = 35,551,315.37/6,684.08
  6. Step 6: Final answer
    x = 5,318.80

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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.