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Finding the Fourth Proportional to 9,447.45, 14,164.62 and 7,976.24

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Solution

The fourth proportional to 9,447.45, 14,164.62 and 7,976.24 is: 11,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.45 : 14,164.62 = 7,976.24 : x
  2. Step 2: Convert to fraction form
    9,447.45/14,164.62 = 7,976.24/x
  3. Step 3: Cross multiply
    9,447.45x = 14,164.62 × 7,976.24
  4. Step 4: Simplify right side
    9,447.45x = 112,980,405.88
  5. Step 5: Solve for x
    x = 112,980,405.88/9,447.45
  6. Step 6: Final answer
    x = 11,958.82

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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.