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Finding the Fourth Proportional to 9,385.76, 12,951.46 and 5,608.17

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Solution

The fourth proportional to 9,385.76, 12,951.46 and 5,608.17 is: 7,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.76 : 12,951.46 = 5,608.17 : x
  2. Step 2: Convert to fraction form
    9,385.76/12,951.46 = 5,608.17/x
  3. Step 3: Cross multiply
    9,385.76x = 12,951.46 × 5,608.17
  4. Step 4: Simplify right side
    9,385.76x = 72,633,996.44
  5. Step 5: Solve for x
    x = 72,633,996.44/9,385.76
  6. Step 6: Final answer
    x = 7,738.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.