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Finding the Fourth Proportional to 9,227.86, 13,841.31 and 2,653.79

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Solution

The fourth proportional to 9,227.86, 13,841.31 and 2,653.79 is: 3,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.86 : 13,841.31 = 2,653.79 : x
  2. Step 2: Convert to fraction form
    9,227.86/13,841.31 = 2,653.79/x
  3. Step 3: Cross multiply
    9,227.86x = 13,841.31 × 2,653.79
  4. Step 4: Simplify right side
    9,227.86x = 36,731,930.06
  5. Step 5: Solve for x
    x = 36,731,930.06/9,227.86
  6. Step 6: Final answer
    x = 3,980.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.