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Finding the Fourth Proportional to 6,667.65, 9,201.17 and 3,683.45

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Solution

The fourth proportional to 6,667.65, 9,201.17 and 3,683.45 is: 5,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.65 : 9,201.17 = 3,683.45 : x
  2. Step 2: Convert to fraction form
    6,667.65/9,201.17 = 3,683.45/x
  3. Step 3: Cross multiply
    6,667.65x = 9,201.17 × 3,683.45
  4. Step 4: Simplify right side
    6,667.65x = 33,892,081.85
  5. Step 5: Solve for x
    x = 33,892,081.85/6,667.65
  6. Step 6: Final answer
    x = 5,083.06

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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.