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Finding the Fourth Proportional to 9,984.98, 14,979.39 and 3,828.50

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Solution

The fourth proportional to 9,984.98, 14,979.39 and 3,828.50 is: 5,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.98 : 14,979.39 = 3,828.50 : x
  2. Step 2: Convert to fraction form
    9,984.98/14,979.39 = 3,828.50/x
  3. Step 3: Cross multiply
    9,984.98x = 14,979.39 × 3,828.50
  4. Step 4: Simplify right side
    9,984.98x = 57,348,594.62
  5. Step 5: Solve for x
    x = 57,348,594.62/9,984.98
  6. Step 6: Final answer
    x = 5,743.49

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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.