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Finding the Fourth Proportional to 9,610.82, 14,416.14 and 5,227.28

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Solution

The fourth proportional to 9,610.82, 14,416.14 and 5,227.28 is: 7,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.82 : 14,416.14 = 5,227.28 : x
  2. Step 2: Convert to fraction form
    9,610.82/14,416.14 = 5,227.28/x
  3. Step 3: Cross multiply
    9,610.82x = 14,416.14 × 5,227.28
  4. Step 4: Simplify right side
    9,610.82x = 75,357,200.30
  5. Step 5: Solve for x
    x = 75,357,200.30/9,610.82
  6. Step 6: Final answer
    x = 7,840.87

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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.