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Finding the Fourth Proportional to 10,234.82, 14,119.28 and 6,649.54

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Solution

The fourth proportional to 10,234.82, 14,119.28 and 6,649.54 is: 9,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.82 : 14,119.28 = 6,649.54 : x
  2. Step 2: Convert to fraction form
    10,234.82/14,119.28 = 6,649.54/x
  3. Step 3: Cross multiply
    10,234.82x = 14,119.28 × 6,649.54
  4. Step 4: Simplify right side
    10,234.82x = 93,886,717.13
  5. Step 5: Solve for x
    x = 93,886,717.13/10,234.82
  6. Step 6: Final answer
    x = 9,173.27

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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.