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Finding the Fourth Proportional to 9,295.44, 13,951.20 and 4,915.68

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Solution

The fourth proportional to 9,295.44, 13,951.20 and 4,915.68 is: 7,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.44 : 13,951.20 = 4,915.68 : x
  2. Step 2: Convert to fraction form
    9,295.44/13,951.20 = 4,915.68/x
  3. Step 3: Cross multiply
    9,295.44x = 13,951.20 × 4,915.68
  4. Step 4: Simplify right side
    9,295.44x = 68,579,634.82
  5. Step 5: Solve for x
    x = 68,579,634.82/9,295.44
  6. Step 6: Final answer
    x = 7,377.77

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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.