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Finding the Fourth Proportional to 10,144.67, 14,009.21 and 9,592.44

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Solution

The fourth proportional to 10,144.67, 14,009.21 and 9,592.44 is: 13,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.67 : 14,009.21 = 9,592.44 : x
  2. Step 2: Convert to fraction form
    10,144.67/14,009.21 = 9,592.44/x
  3. Step 3: Cross multiply
    10,144.67x = 14,009.21 × 9,592.44
  4. Step 4: Simplify right side
    10,144.67x = 134,382,458.41
  5. Step 5: Solve for x
    x = 134,382,458.41/10,144.67
  6. Step 6: Final answer
    x = 13,246.61

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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.