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Finding the Fourth Proportional to 9,839.07, 14,747.97 and 4,844.89

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Solution

The fourth proportional to 9,839.07, 14,747.97 and 4,844.89 is: 7,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.07 : 14,747.97 = 4,844.89 : x
  2. Step 2: Convert to fraction form
    9,839.07/14,747.97 = 4,844.89/x
  3. Step 3: Cross multiply
    9,839.07x = 14,747.97 × 4,844.89
  4. Step 4: Simplify right side
    9,839.07x = 71,452,287.50
  5. Step 5: Solve for x
    x = 71,452,287.50/9,839.07
  6. Step 6: Final answer
    x = 7,262.10

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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.