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Finding the Fourth Proportional to 9,436.29, 14,191.39 and 7,960.06

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Solution

The fourth proportional to 9,436.29, 14,191.39 and 7,960.06 is: 11,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.29 : 14,191.39 = 7,960.06 : x
  2. Step 2: Convert to fraction form
    9,436.29/14,191.39 = 7,960.06/x
  3. Step 3: Cross multiply
    9,436.29x = 14,191.39 × 7,960.06
  4. Step 4: Simplify right side
    9,436.29x = 112,964,315.88
  5. Step 5: Solve for x
    x = 112,964,315.88/9,436.29
  6. Step 6: Final answer
    x = 11,971.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.