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Finding the Fourth Proportional to 6,956.55, 9,600.03 and 3,812.73

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Solution

The fourth proportional to 6,956.55, 9,600.03 and 3,812.73 is: 5,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.55 : 9,600.03 = 3,812.73 : x
  2. Step 2: Convert to fraction form
    6,956.55/9,600.03 = 3,812.73/x
  3. Step 3: Cross multiply
    6,956.55x = 9,600.03 × 3,812.73
  4. Step 4: Simplify right side
    6,956.55x = 36,602,322.38
  5. Step 5: Solve for x
    x = 36,602,322.38/6,956.55
  6. Step 6: Final answer
    x = 5,261.57

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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.