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Finding the Fourth Proportional to 9,667.34, 13,336.16 and 6,086.60

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Solution

The fourth proportional to 9,667.34, 13,336.16 and 6,086.60 is: 8,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.34 : 13,336.16 = 6,086.60 : x
  2. Step 2: Convert to fraction form
    9,667.34/13,336.16 = 6,086.60/x
  3. Step 3: Cross multiply
    9,667.34x = 13,336.16 × 6,086.60
  4. Step 4: Simplify right side
    9,667.34x = 81,171,871.46
  5. Step 5: Solve for x
    x = 81,171,871.46/9,667.34
  6. Step 6: Final answer
    x = 8,396.51

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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.