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Finding the Fourth Proportional to 9,468, 14,204.40 and 3,625.44

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Solution

The fourth proportional to 9,468, 14,204.40 and 3,625.44 is: 5,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468 : 14,204.40 = 3,625.44 : x
  2. Step 2: Convert to fraction form
    9,468/14,204.40 = 3,625.44/x
  3. Step 3: Cross multiply
    9,468x = 14,204.40 × 3,625.44
  4. Step 4: Simplify right side
    9,468x = 51,497,199.94
  5. Step 5: Solve for x
    x = 51,497,199.94/9,468
  6. Step 6: Final answer
    x = 5,439.08

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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.