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Finding the Fourth Proportional to 9,204.96, 13,809.63 and 2,965.56

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Solution

The fourth proportional to 9,204.96, 13,809.63 and 2,965.56 is: 4,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.96 : 13,809.63 = 2,965.56 : x
  2. Step 2: Convert to fraction form
    9,204.96/13,809.63 = 2,965.56/x
  3. Step 3: Cross multiply
    9,204.96x = 13,809.63 × 2,965.56
  4. Step 4: Simplify right side
    9,204.96x = 40,953,286.34
  5. Step 5: Solve for x
    x = 40,953,286.34/9,204.96
  6. Step 6: Final answer
    x = 4,449.05

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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.