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Finding the Fourth Proportional to 6,833.56, 9,423.82 and 6,324.44

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Solution

The fourth proportional to 6,833.56, 9,423.82 and 6,324.44 is: 8,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.56 : 9,423.82 = 6,324.44 : x
  2. Step 2: Convert to fraction form
    6,833.56/9,423.82 = 6,324.44/x
  3. Step 3: Cross multiply
    6,833.56x = 9,423.82 × 6,324.44
  4. Step 4: Simplify right side
    6,833.56x = 59,600,384.16
  5. Step 5: Solve for x
    x = 59,600,384.16/6,833.56
  6. Step 6: Final answer
    x = 8,721.72

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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.