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Finding the Fourth Proportional to 6,674.36, 9,209.66 and 3,840.64

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Solution

The fourth proportional to 6,674.36, 9,209.66 and 3,840.64 is: 5,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.36 : 9,209.66 = 3,840.64 : x
  2. Step 2: Convert to fraction form
    6,674.36/9,209.66 = 3,840.64/x
  3. Step 3: Cross multiply
    6,674.36x = 9,209.66 × 3,840.64
  4. Step 4: Simplify right side
    6,674.36x = 35,370,946.36
  5. Step 5: Solve for x
    x = 35,370,946.36/6,674.36
  6. Step 6: Final answer
    x = 5,299.53

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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.