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Finding the Fourth Proportional to 6,835.96, 9,438.24 and 5,239.76

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Solution

The fourth proportional to 6,835.96, 9,438.24 and 5,239.76 is: 7,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.96 : 9,438.24 = 5,239.76 : x
  2. Step 2: Convert to fraction form
    6,835.96/9,438.24 = 5,239.76/x
  3. Step 3: Cross multiply
    6,835.96x = 9,438.24 × 5,239.76
  4. Step 4: Simplify right side
    6,835.96x = 49,454,112.42
  5. Step 5: Solve for x
    x = 49,454,112.42/6,835.96
  6. Step 6: Final answer
    x = 7,234.41

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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.