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Finding the Fourth Proportional to 9,336.33, 13,970.97 and 6,865.02

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Solution

The fourth proportional to 9,336.33, 13,970.97 and 6,865.02 is: 10,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.33 : 13,970.97 = 6,865.02 : x
  2. Step 2: Convert to fraction form
    9,336.33/13,970.97 = 6,865.02/x
  3. Step 3: Cross multiply
    9,336.33x = 13,970.97 × 6,865.02
  4. Step 4: Simplify right side
    9,336.33x = 95,910,988.47
  5. Step 5: Solve for x
    x = 95,910,988.47/9,336.33
  6. Step 6: Final answer
    x = 10,272.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.