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Finding the Fourth Proportional to 9,206.34, 13,838.67 and 7,923.30

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Solution

The fourth proportional to 9,206.34, 13,838.67 and 7,923.30 is: 11,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.34 : 13,838.67 = 7,923.30 : x
  2. Step 2: Convert to fraction form
    9,206.34/13,838.67 = 7,923.30/x
  3. Step 3: Cross multiply
    9,206.34x = 13,838.67 × 7,923.30
  4. Step 4: Simplify right side
    9,206.34x = 109,647,934.01
  5. Step 5: Solve for x
    x = 109,647,934.01/9,206.34
  6. Step 6: Final answer
    x = 11,910.05

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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.