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Finding the Fourth Proportional to 6,704.36, 9,256.81 and 4,471.50

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Solution

The fourth proportional to 6,704.36, 9,256.81 and 4,471.50 is: 6,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.36 : 9,256.81 = 4,471.50 : x
  2. Step 2: Convert to fraction form
    6,704.36/9,256.81 = 4,471.50/x
  3. Step 3: Cross multiply
    6,704.36x = 9,256.81 × 4,471.50
  4. Step 4: Simplify right side
    6,704.36x = 41,391,825.92
  5. Step 5: Solve for x
    x = 41,391,825.92/6,704.36
  6. Step 6: Final answer
    x = 6,173.87

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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.