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Finding the Fourth Proportional to 9,736.42, 13,435.53 and 5,958.04

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Solution

The fourth proportional to 9,736.42, 13,435.53 and 5,958.04 is: 8,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.42 : 13,435.53 = 5,958.04 : x
  2. Step 2: Convert to fraction form
    9,736.42/13,435.53 = 5,958.04/x
  3. Step 3: Cross multiply
    9,736.42x = 13,435.53 × 5,958.04
  4. Step 4: Simplify right side
    9,736.42x = 80,049,425.16
  5. Step 5: Solve for x
    x = 80,049,425.16/9,736.42
  6. Step 6: Final answer
    x = 8,221.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.