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Finding the Fourth Proportional to 6,956.88, 9,600.49 and 3,813.00

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Solution

The fourth proportional to 6,956.88, 9,600.49 and 3,813.00 is: 5,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.88 : 9,600.49 = 3,813.00 : x
  2. Step 2: Convert to fraction form
    6,956.88/9,600.49 = 3,813.00/x
  3. Step 3: Cross multiply
    6,956.88x = 9,600.49 × 3,813.00
  4. Step 4: Simplify right side
    6,956.88x = 36,606,610.84
  5. Step 5: Solve for x
    x = 36,606,610.84/6,956.88
  6. Step 6: Final answer
    x = 5,261.93

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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.