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Finding the Fourth Proportional to 9,999.86, 13,799.57 and 5,523.26

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Solution

The fourth proportional to 9,999.86, 13,799.57 and 5,523.26 is: 7,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.86 : 13,799.57 = 5,523.26 : x
  2. Step 2: Convert to fraction form
    9,999.86/13,799.57 = 5,523.26/x
  3. Step 3: Cross multiply
    9,999.86x = 13,799.57 × 5,523.26
  4. Step 4: Simplify right side
    9,999.86x = 76,218,516.38
  5. Step 5: Solve for x
    x = 76,218,516.38/9,999.86
  6. Step 6: Final answer
    x = 7,621.96

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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.