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Finding the Fourth Proportional to 9,178.69, 13,768.04 and 8,711.23

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Solution

The fourth proportional to 9,178.69, 13,768.04 and 8,711.23 is: 13,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.69 : 13,768.04 = 8,711.23 : x
  2. Step 2: Convert to fraction form
    9,178.69/13,768.04 = 8,711.23/x
  3. Step 3: Cross multiply
    9,178.69x = 13,768.04 × 8,711.23
  4. Step 4: Simplify right side
    9,178.69x = 119,936,563.09
  5. Step 5: Solve for x
    x = 119,936,563.09/9,178.69
  6. Step 6: Final answer
    x = 13,066.85

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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.