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Finding the Fourth Proportional to 6,926.68, 9,558.82 and 3,782.88

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Solution

The fourth proportional to 6,926.68, 9,558.82 and 3,782.88 is: 5,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.68 : 9,558.82 = 3,782.88 : x
  2. Step 2: Convert to fraction form
    6,926.68/9,558.82 = 3,782.88/x
  3. Step 3: Cross multiply
    6,926.68x = 9,558.82 × 3,782.88
  4. Step 4: Simplify right side
    6,926.68x = 36,159,869.00
  5. Step 5: Solve for x
    x = 36,159,869.00/6,926.68
  6. Step 6: Final answer
    x = 5,220.38

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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.