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Finding the Fourth Proportional to 9,467.52, 14,202.08 and 2,542

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Solution

The fourth proportional to 9,467.52, 14,202.08 and 2,542 is: 3,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.52 : 14,202.08 = 2,542 : x
  2. Step 2: Convert to fraction form
    9,467.52/14,202.08 = 2,542/x
  3. Step 3: Cross multiply
    9,467.52x = 14,202.08 × 2,542
  4. Step 4: Simplify right side
    9,467.52x = 36,101,687.36
  5. Step 5: Solve for x
    x = 36,101,687.36/9,467.52
  6. Step 6: Final answer
    x = 3,813.21

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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.