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Finding the Fourth Proportional to 9,176.69, 13,765.04 and 8,709.23

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Solution

The fourth proportional to 9,176.69, 13,765.04 and 8,709.23 is: 13,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.69 : 13,765.04 = 8,709.23 : x
  2. Step 2: Convert to fraction form
    9,176.69/13,765.04 = 8,709.23/x
  3. Step 3: Cross multiply
    9,176.69x = 13,765.04 × 8,709.23
  4. Step 4: Simplify right side
    9,176.69x = 119,882,786.95
  5. Step 5: Solve for x
    x = 119,882,786.95/9,176.69
  6. Step 6: Final answer
    x = 13,063.84

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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.