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Finding the Fourth Proportional to 9,665, 13,337.78 and 5,249

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Solution

The fourth proportional to 9,665, 13,337.78 and 5,249 is: 7,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665 : 13,337.78 = 5,249 : x
  2. Step 2: Convert to fraction form
    9,665/13,337.78 = 5,249/x
  3. Step 3: Cross multiply
    9,665x = 13,337.78 × 5,249
  4. Step 4: Simplify right side
    9,665x = 70,010,007.22
  5. Step 5: Solve for x
    x = 70,010,007.22/9,665
  6. Step 6: Final answer
    x = 7,243.66

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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.