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Finding the Fourth Proportional to 9,842.63, 13,583.15 and 5,593.62

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Solution

The fourth proportional to 9,842.63, 13,583.15 and 5,593.62 is: 7,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.63 : 13,583.15 = 5,593.62 : x
  2. Step 2: Convert to fraction form
    9,842.63/13,583.15 = 5,593.62/x
  3. Step 3: Cross multiply
    9,842.63x = 13,583.15 × 5,593.62
  4. Step 4: Simplify right side
    9,842.63x = 75,978,993.49
  5. Step 5: Solve for x
    x = 75,978,993.49/9,842.63
  6. Step 6: Final answer
    x = 7,719.38

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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.