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Finding the Fourth Proportional to 6,925.50, 9,558 and 3,942.27

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Solution

The fourth proportional to 6,925.50, 9,558 and 3,942.27 is: 5,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.50 : 9,558 = 3,942.27 : x
  2. Step 2: Convert to fraction form
    6,925.50/9,558 = 3,942.27/x
  3. Step 3: Cross multiply
    6,925.50x = 9,558 × 3,942.27
  4. Step 4: Simplify right side
    6,925.50x = 37,680,216.66
  5. Step 5: Solve for x
    x = 37,680,216.66/6,925.50
  6. Step 6: Final answer
    x = 5,440.79

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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.