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Finding the Fourth Proportional to 6,378.84, 9,544.22 and 5,731.38

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Solution

The fourth proportional to 6,378.84, 9,544.22 and 5,731.38 is: 8,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.84 : 9,544.22 = 5,731.38 : x
  2. Step 2: Convert to fraction form
    6,378.84/9,544.22 = 5,731.38/x
  3. Step 3: Cross multiply
    6,378.84x = 9,544.22 × 5,731.38
  4. Step 4: Simplify right side
    6,378.84x = 54,701,522.97
  5. Step 5: Solve for x
    x = 54,701,522.97/6,378.84
  6. Step 6: Final answer
    x = 8,575.47

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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.