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Finding the Fourth Proportional to 9,908.73, 14,869.58 and 8,198.01

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Solution

The fourth proportional to 9,908.73, 14,869.58 and 8,198.01 is: 12,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.73 : 14,869.58 = 8,198.01 : x
  2. Step 2: Convert to fraction form
    9,908.73/14,869.58 = 8,198.01/x
  3. Step 3: Cross multiply
    9,908.73x = 14,869.58 × 8,198.01
  4. Step 4: Simplify right side
    9,908.73x = 121,900,924.55
  5. Step 5: Solve for x
    x = 121,900,924.55/9,908.73
  6. Step 6: Final answer
    x = 12,302.38

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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.