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Finding the Fourth Proportional to 6,673.67, 9,209.02 and 3,689.09

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Solution

The fourth proportional to 6,673.67, 9,209.02 and 3,689.09 is: 5,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.67 : 9,209.02 = 3,689.09 : x
  2. Step 2: Convert to fraction form
    6,673.67/9,209.02 = 3,689.09/x
  3. Step 3: Cross multiply
    6,673.67x = 9,209.02 × 3,689.09
  4. Step 4: Simplify right side
    6,673.67x = 33,972,931.20
  5. Step 5: Solve for x
    x = 33,972,931.20/6,673.67
  6. Step 6: Final answer
    x = 5,090.60

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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.