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Finding the Fourth Proportional to 9,198.98, 12,697.38 and 5,421.88

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Solution

The fourth proportional to 9,198.98, 12,697.38 and 5,421.88 is: 7,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.98 : 12,697.38 = 5,421.88 : x
  2. Step 2: Convert to fraction form
    9,198.98/12,697.38 = 5,421.88/x
  3. Step 3: Cross multiply
    9,198.98x = 12,697.38 × 5,421.88
  4. Step 4: Simplify right side
    9,198.98x = 68,843,638.93
  5. Step 5: Solve for x
    x = 68,843,638.93/9,198.98
  6. Step 6: Final answer
    x = 7,483.84

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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.