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Finding the Fourth Proportional to 9,162.69, 13,736.34 and 6,381.15

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Solution

The fourth proportional to 9,162.69, 13,736.34 and 6,381.15 is: 9,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.69 : 13,736.34 = 6,381.15 : x
  2. Step 2: Convert to fraction form
    9,162.69/13,736.34 = 6,381.15/x
  3. Step 3: Cross multiply
    9,162.69x = 13,736.34 × 6,381.15
  4. Step 4: Simplify right side
    9,162.69x = 87,653,645.99
  5. Step 5: Solve for x
    x = 87,653,645.99/9,162.69
  6. Step 6: Final answer
    x = 9,566.37

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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.