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Finding the Fourth Proportional to 6,951.75, 9,562.30 and 6,096.80

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Solution

The fourth proportional to 6,951.75, 9,562.30 and 6,096.80 is: 8,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.75 : 9,562.30 = 6,096.80 : x
  2. Step 2: Convert to fraction form
    6,951.75/9,562.30 = 6,096.80/x
  3. Step 3: Cross multiply
    6,951.75x = 9,562.30 × 6,096.80
  4. Step 4: Simplify right side
    6,951.75x = 58,299,367.59
  5. Step 5: Solve for x
    x = 58,299,367.59/6,951.75
  6. Step 6: Final answer
    x = 8,386.29

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