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Finding the Fourth Proportional to 6,956.52, 9,600.08 and 3,812.64

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Solution

The fourth proportional to 6,956.52, 9,600.08 and 3,812.64 is: 5,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.52 : 9,600.08 = 3,812.64 : x
  2. Step 2: Convert to fraction form
    6,956.52/9,600.08 = 3,812.64/x
  3. Step 3: Cross multiply
    6,956.52x = 9,600.08 × 3,812.64
  4. Step 4: Simplify right side
    6,956.52x = 36,601,649.01
  5. Step 5: Solve for x
    x = 36,601,649.01/6,956.52
  6. Step 6: Final answer
    x = 5,261.49

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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.