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Finding the Fourth Proportional to 6,823.48, 9,420.42 and 6,429.82

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Solution

The fourth proportional to 6,823.48, 9,420.42 and 6,429.82 is: 8,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.48 : 9,420.42 = 6,429.82 : x
  2. Step 2: Convert to fraction form
    6,823.48/9,420.42 = 6,429.82/x
  3. Step 3: Cross multiply
    6,823.48x = 9,420.42 × 6,429.82
  4. Step 4: Simplify right side
    6,823.48x = 60,571,604.92
  5. Step 5: Solve for x
    x = 60,571,604.92/6,823.48
  6. Step 6: Final answer
    x = 8,876.94

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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.