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Finding the Fourth Proportional to 6,956.22, 9,601.37 and 4,302.12

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Solution

The fourth proportional to 6,956.22, 9,601.37 and 4,302.12 is: 5,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.22 : 9,601.37 = 4,302.12 : x
  2. Step 2: Convert to fraction form
    6,956.22/9,601.37 = 4,302.12/x
  3. Step 3: Cross multiply
    6,956.22x = 9,601.37 × 4,302.12
  4. Step 4: Simplify right side
    6,956.22x = 41,306,224.39
  5. Step 5: Solve for x
    x = 41,306,224.39/6,956.22
  6. Step 6: Final answer
    x = 5,938.03

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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.