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Finding the Fourth Proportional to 9,667.84, 14,559.04 and 8,449.92

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Solution

The fourth proportional to 9,667.84, 14,559.04 and 8,449.92 is: 12,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.84 : 14,559.04 = 8,449.92 : x
  2. Step 2: Convert to fraction form
    9,667.84/14,559.04 = 8,449.92/x
  3. Step 3: Cross multiply
    9,667.84x = 14,559.04 × 8,449.92
  4. Step 4: Simplify right side
    9,667.84x = 123,022,723.28
  5. Step 5: Solve for x
    x = 123,022,723.28/9,667.84
  6. Step 6: Final answer
    x = 12,724.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.