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Finding the Fourth Proportional to 9,669.62, 13,344.06 and 5,892.78

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Solution

The fourth proportional to 9,669.62, 13,344.06 and 5,892.78 is: 8,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.62 : 13,344.06 = 5,892.78 : x
  2. Step 2: Convert to fraction form
    9,669.62/13,344.06 = 5,892.78/x
  3. Step 3: Cross multiply
    9,669.62x = 13,344.06 × 5,892.78
  4. Step 4: Simplify right side
    9,669.62x = 78,633,609.89
  5. Step 5: Solve for x
    x = 78,633,609.89/9,669.62
  6. Step 6: Final answer
    x = 8,132.03

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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.