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Finding the Fourth Proportional to 6,324.58, 9,486.90 and 2,576.43

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Solution

The fourth proportional to 6,324.58, 9,486.90 and 2,576.43 is: 3,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.58 : 9,486.90 = 2,576.43 : x
  2. Step 2: Convert to fraction form
    6,324.58/9,486.90 = 2,576.43/x
  3. Step 3: Cross multiply
    6,324.58x = 9,486.90 × 2,576.43
  4. Step 4: Simplify right side
    6,324.58x = 24,442,333.77
  5. Step 5: Solve for x
    x = 24,442,333.77/6,324.58
  6. Step 6: Final answer
    x = 3,864.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.