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Finding the Fourth Proportional to 6,287.84, 9,426.20 and 5,369.28

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Solution

The fourth proportional to 6,287.84, 9,426.20 and 5,369.28 is: 8,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.84 : 9,426.20 = 5,369.28 : x
  2. Step 2: Convert to fraction form
    6,287.84/9,426.20 = 5,369.28/x
  3. Step 3: Cross multiply
    6,287.84x = 9,426.20 × 5,369.28
  4. Step 4: Simplify right side
    6,287.84x = 50,611,907.14
  5. Step 5: Solve for x
    x = 50,611,907.14/6,287.84
  6. Step 6: Final answer
    x = 8,049.17

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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.