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Finding the Fourth Proportional to 9,850.26, 13,593.88 and 5,658.78

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Solution

The fourth proportional to 9,850.26, 13,593.88 and 5,658.78 is: 7,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.26 : 13,593.88 = 5,658.78 : x
  2. Step 2: Convert to fraction form
    9,850.26/13,593.88 = 5,658.78/x
  3. Step 3: Cross multiply
    9,850.26x = 13,593.88 × 5,658.78
  4. Step 4: Simplify right side
    9,850.26x = 76,924,776.27
  5. Step 5: Solve for x
    x = 76,924,776.27/9,850.26
  6. Step 6: Final answer
    x = 7,809.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.