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Finding the Fourth Proportional to 29,198.47, 43,797.10 and 9,477

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Solution

The fourth proportional to 29,198.47, 43,797.10 and 9,477 is: 14,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198.47 : 43,797.10 = 9,477 : x
  2. Step 2: Convert to fraction form
    29,198.47/43,797.10 = 9,477/x
  3. Step 3: Cross multiply
    29,198.47x = 43,797.10 × 9,477
  4. Step 4: Simplify right side
    29,198.47x = 415,065,116.70
  5. Step 5: Solve for x
    x = 415,065,116.70/29,198.47
  6. Step 6: Final answer
    x = 14,215.30

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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.