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Finding the Fourth Proportional to 9,576.45, 14,338.71 and 4,949.73

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Solution

The fourth proportional to 9,576.45, 14,338.71 and 4,949.73 is: 7,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.45 : 14,338.71 = 4,949.73 : x
  2. Step 2: Convert to fraction form
    9,576.45/14,338.71 = 4,949.73/x
  3. Step 3: Cross multiply
    9,576.45x = 14,338.71 × 4,949.73
  4. Step 4: Simplify right side
    9,576.45x = 70,972,743.05
  5. Step 5: Solve for x
    x = 70,972,743.05/9,576.45
  6. Step 6: Final answer
    x = 7,411.17

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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.