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Finding the Fourth Proportional to 10,270.26, 15,326.73 and 9,162.99

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Solution

The fourth proportional to 10,270.26, 15,326.73 and 9,162.99 is: 13,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.26 : 15,326.73 = 9,162.99 : x
  2. Step 2: Convert to fraction form
    10,270.26/15,326.73 = 9,162.99/x
  3. Step 3: Cross multiply
    10,270.26x = 15,326.73 × 9,162.99
  4. Step 4: Simplify right side
    10,270.26x = 140,438,673.72
  5. Step 5: Solve for x
    x = 140,438,673.72/10,270.26
  6. Step 6: Final answer
    x = 13,674.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.