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Finding the Fourth Proportional to 9,906.85, 14,857.82 and 3,332.89

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Solution

The fourth proportional to 9,906.85, 14,857.82 and 3,332.89 is: 4,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.85 : 14,857.82 = 3,332.89 : x
  2. Step 2: Convert to fraction form
    9,906.85/14,857.82 = 3,332.89/x
  3. Step 3: Cross multiply
    9,906.85x = 14,857.82 × 3,332.89
  4. Step 4: Simplify right side
    9,906.85x = 49,519,388.75
  5. Step 5: Solve for x
    x = 49,519,388.75/9,906.85
  6. Step 6: Final answer
    x = 4,998.50

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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.