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Finding the Fourth Proportional to 9,423.52, 13,004.22 and 5,231.50

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Solution

The fourth proportional to 9,423.52, 13,004.22 and 5,231.50 is: 7,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.52 : 13,004.22 = 5,231.50 : x
  2. Step 2: Convert to fraction form
    9,423.52/13,004.22 = 5,231.50/x
  3. Step 3: Cross multiply
    9,423.52x = 13,004.22 × 5,231.50
  4. Step 4: Simplify right side
    9,423.52x = 68,031,576.93
  5. Step 5: Solve for x
    x = 68,031,576.93/9,423.52
  6. Step 6: Final answer
    x = 7,219.34

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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.