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Finding the Fourth Proportional to 9,367.96, 14,054.76 and 2,794.14

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Solution

The fourth proportional to 9,367.96, 14,054.76 and 2,794.14 is: 4,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.96 : 14,054.76 = 2,794.14 : x
  2. Step 2: Convert to fraction form
    9,367.96/14,054.76 = 2,794.14/x
  3. Step 3: Cross multiply
    9,367.96x = 14,054.76 × 2,794.14
  4. Step 4: Simplify right side
    9,367.96x = 39,270,953.14
  5. Step 5: Solve for x
    x = 39,270,953.14/9,367.96
  6. Step 6: Final answer
    x = 4,192.05

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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.