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Finding the Fourth Proportional to 9,853.69, 13,599.24 and 5,605.39

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Solution

The fourth proportional to 9,853.69, 13,599.24 and 5,605.39 is: 7,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.69 : 13,599.24 = 5,605.39 : x
  2. Step 2: Convert to fraction form
    9,853.69/13,599.24 = 5,605.39/x
  3. Step 3: Cross multiply
    9,853.69x = 13,599.24 × 5,605.39
  4. Step 4: Simplify right side
    9,853.69x = 76,229,043.90
  5. Step 5: Solve for x
    x = 76,229,043.90/9,853.69
  6. Step 6: Final answer
    x = 7,736.09

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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.