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Finding the Fourth Proportional to 9,667.38, 13,336.47 and 6,834.78

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Solution

The fourth proportional to 9,667.38, 13,336.47 and 6,834.78 is: 9,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.38 : 13,336.47 = 6,834.78 : x
  2. Step 2: Convert to fraction form
    9,667.38/13,336.47 = 6,834.78/x
  3. Step 3: Cross multiply
    9,667.38x = 13,336.47 × 6,834.78
  4. Step 4: Simplify right side
    9,667.38x = 91,151,838.43
  5. Step 5: Solve for x
    x = 91,151,838.43/9,667.38
  6. Step 6: Final answer
    x = 9,428.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.