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Finding the Fourth Proportional to 9,576.38, 13,224.12 and 7,214.42

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Solution

The fourth proportional to 9,576.38, 13,224.12 and 7,214.42 is: 9,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.38 : 13,224.12 = 7,214.42 : x
  2. Step 2: Convert to fraction form
    9,576.38/13,224.12 = 7,214.42/x
  3. Step 3: Cross multiply
    9,576.38x = 13,224.12 × 7,214.42
  4. Step 4: Simplify right side
    9,576.38x = 95,404,355.81
  5. Step 5: Solve for x
    x = 95,404,355.81/9,576.38
  6. Step 6: Final answer
    x = 9,962.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.