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Finding the Fourth Proportional to 9,667.71, 13,343.09 and 8,095.23

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Solution

The fourth proportional to 9,667.71, 13,343.09 and 8,095.23 is: 11,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.71 : 13,343.09 = 8,095.23 : x
  2. Step 2: Convert to fraction form
    9,667.71/13,343.09 = 8,095.23/x
  3. Step 3: Cross multiply
    9,667.71x = 13,343.09 × 8,095.23
  4. Step 4: Simplify right side
    9,667.71x = 108,015,341.98
  5. Step 5: Solve for x
    x = 108,015,341.98/9,667.71
  6. Step 6: Final answer
    x = 11,172.80

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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.