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Finding the Fourth Proportional to 9,438.28, 14,173.84 and 8,696.50

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Solution

The fourth proportional to 9,438.28, 14,173.84 and 8,696.50 is: 13,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.28 : 14,173.84 = 8,696.50 : x
  2. Step 2: Convert to fraction form
    9,438.28/14,173.84 = 8,696.50/x
  3. Step 3: Cross multiply
    9,438.28x = 14,173.84 × 8,696.50
  4. Step 4: Simplify right side
    9,438.28x = 123,262,799.56
  5. Step 5: Solve for x
    x = 123,262,799.56/9,438.28
  6. Step 6: Final answer
    x = 13,059.88

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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.