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Finding the Fourth Proportional to 9,201.72, 13,797.30 and 4,266.54

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Solution

The fourth proportional to 9,201.72, 13,797.30 and 4,266.54 is: 6,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.72 : 13,797.30 = 4,266.54 : x
  2. Step 2: Convert to fraction form
    9,201.72/13,797.30 = 4,266.54/x
  3. Step 3: Cross multiply
    9,201.72x = 13,797.30 × 4,266.54
  4. Step 4: Simplify right side
    9,201.72x = 58,866,732.34
  5. Step 5: Solve for x
    x = 58,866,732.34/9,201.72
  6. Step 6: Final answer
    x = 6,397.36

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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.