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Finding the Fourth Proportional to 6,683.70, 9,223.62 and 3,659.09

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Solution

The fourth proportional to 6,683.70, 9,223.62 and 3,659.09 is: 5,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.70 : 9,223.62 = 3,659.09 : x
  2. Step 2: Convert to fraction form
    6,683.70/9,223.62 = 3,659.09/x
  3. Step 3: Cross multiply
    6,683.70x = 9,223.62 × 3,659.09
  4. Step 4: Simplify right side
    6,683.70x = 33,750,009.59
  5. Step 5: Solve for x
    x = 33,750,009.59/6,683.70
  6. Step 6: Final answer
    x = 5,049.60

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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.