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Finding the Fourth Proportional to 9,278.54, 13,915.68 and 5,531.38

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Solution

The fourth proportional to 9,278.54, 13,915.68 and 5,531.38 is: 8,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.54 : 13,915.68 = 5,531.38 : x
  2. Step 2: Convert to fraction form
    9,278.54/13,915.68 = 5,531.38/x
  3. Step 3: Cross multiply
    9,278.54x = 13,915.68 × 5,531.38
  4. Step 4: Simplify right side
    9,278.54x = 76,972,936.50
  5. Step 5: Solve for x
    x = 76,972,936.50/9,278.54
  6. Step 6: Final answer
    x = 8,295.80

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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.