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Finding the Fourth Proportional to 9,344.64, 14,022.43 and 3,796.84

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Solution

The fourth proportional to 9,344.64, 14,022.43 and 3,796.84 is: 5,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.64 : 14,022.43 = 3,796.84 : x
  2. Step 2: Convert to fraction form
    9,344.64/14,022.43 = 3,796.84/x
  3. Step 3: Cross multiply
    9,344.64x = 14,022.43 × 3,796.84
  4. Step 4: Simplify right side
    9,344.64x = 53,240,877.34
  5. Step 5: Solve for x
    x = 53,240,877.34/9,344.64
  6. Step 6: Final answer
    x = 5,697.48

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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.