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Finding the Fourth Proportional to 6,667.86, 9,202.77 and 3,874.98

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Solution

The fourth proportional to 6,667.86, 9,202.77 and 3,874.98 is: 5,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.86 : 9,202.77 = 3,874.98 : x
  2. Step 2: Convert to fraction form
    6,667.86/9,202.77 = 3,874.98/x
  3. Step 3: Cross multiply
    6,667.86x = 9,202.77 × 3,874.98
  4. Step 4: Simplify right side
    6,667.86x = 35,660,549.69
  5. Step 5: Solve for x
    x = 35,660,549.69/6,667.86
  6. Step 6: Final answer
    x = 5,348.13

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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.