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Finding the Fourth Proportional to 6,926.23, 9,558.23 and 3,782.42

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Solution

The fourth proportional to 6,926.23, 9,558.23 and 3,782.42 is: 5,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.23 : 9,558.23 = 3,782.42 : x
  2. Step 2: Convert to fraction form
    6,926.23/9,558.23 = 3,782.42/x
  3. Step 3: Cross multiply
    6,926.23x = 9,558.23 × 3,782.42
  4. Step 4: Simplify right side
    6,926.23x = 36,153,240.32
  5. Step 5: Solve for x
    x = 36,153,240.32/6,926.23
  6. Step 6: Final answer
    x = 5,219.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.