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Finding the Fourth Proportional to 9,576, 14,369.70 and 4,382.28

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Solution

The fourth proportional to 9,576, 14,369.70 and 4,382.28 is: 6,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 14,369.70 = 4,382.28 : x
  2. Step 2: Convert to fraction form
    9,576/14,369.70 = 4,382.28/x
  3. Step 3: Cross multiply
    9,576x = 14,369.70 × 4,382.28
  4. Step 4: Simplify right side
    9,576x = 62,972,048.92
  5. Step 5: Solve for x
    x = 62,972,048.92/9,576
  6. Step 6: Final answer
    x = 6,576.03

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Why These Related Problems?

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