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Finding the Fourth Proportional to 10,326.29, 15,469.54 and 6,169.63

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Solution

The fourth proportional to 10,326.29, 15,469.54 and 6,169.63 is: 9,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.29 : 15,469.54 = 6,169.63 : x
  2. Step 2: Convert to fraction form
    10,326.29/15,469.54 = 6,169.63/x
  3. Step 3: Cross multiply
    10,326.29x = 15,469.54 × 6,169.63
  4. Step 4: Simplify right side
    10,326.29x = 95,441,338.07
  5. Step 5: Solve for x
    x = 95,441,338.07/10,326.29
  6. Step 6: Final answer
    x = 9,242.56

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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.