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Finding the Fourth Proportional to 9,676.27, 13,357.34 and 6,536.71

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Solution

The fourth proportional to 9,676.27, 13,357.34 and 6,536.71 is: 9,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.27 : 13,357.34 = 6,536.71 : x
  2. Step 2: Convert to fraction form
    9,676.27/13,357.34 = 6,536.71/x
  3. Step 3: Cross multiply
    9,676.27x = 13,357.34 × 6,536.71
  4. Step 4: Simplify right side
    9,676.27x = 87,313,057.95
  5. Step 5: Solve for x
    x = 87,313,057.95/9,676.27
  6. Step 6: Final answer
    x = 9,023.42

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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.