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Finding the Fourth Proportional to 6,386.43, 9,576.54 and 2,226.69

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Solution

The fourth proportional to 6,386.43, 9,576.54 and 2,226.69 is: 3,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.43 : 9,576.54 = 2,226.69 : x
  2. Step 2: Convert to fraction form
    6,386.43/9,576.54 = 2,226.69/x
  3. Step 3: Cross multiply
    6,386.43x = 9,576.54 × 2,226.69
  4. Step 4: Simplify right side
    6,386.43x = 21,323,985.85
  5. Step 5: Solve for x
    x = 21,323,985.85/6,386.43
  6. Step 6: Final answer
    x = 3,338.95

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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.