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Finding the Fourth Proportional to 9,667.89, 13,334.09 and 6,480.09

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Solution

The fourth proportional to 9,667.89, 13,334.09 and 6,480.09 is: 8,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.89 : 13,334.09 = 6,480.09 : x
  2. Step 2: Convert to fraction form
    9,667.89/13,334.09 = 6,480.09/x
  3. Step 3: Cross multiply
    9,667.89x = 13,334.09 × 6,480.09
  4. Step 4: Simplify right side
    9,667.89x = 86,406,070.87
  5. Step 5: Solve for x
    x = 86,406,070.87/9,667.89
  6. Step 6: Final answer
    x = 8,937.43

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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.