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Finding the Fourth Proportional to 9,682.32, 13,274.58 and 9,507.36

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Solution

The fourth proportional to 9,682.32, 13,274.58 and 9,507.36 is: 13,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.32 : 13,274.58 = 9,507.36 : x
  2. Step 2: Convert to fraction form
    9,682.32/13,274.58 = 9,507.36/x
  3. Step 3: Cross multiply
    9,682.32x = 13,274.58 × 9,507.36
  4. Step 4: Simplify right side
    9,682.32x = 126,206,244.10
  5. Step 5: Solve for x
    x = 126,206,244.10/9,682.32
  6. Step 6: Final answer
    x = 13,034.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.