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Finding the Fourth Proportional to 9,225.29, 13,836.44 and 2,649.98

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Solution

The fourth proportional to 9,225.29, 13,836.44 and 2,649.98 is: 3,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.29 : 13,836.44 = 2,649.98 : x
  2. Step 2: Convert to fraction form
    9,225.29/13,836.44 = 2,649.98/x
  3. Step 3: Cross multiply
    9,225.29x = 13,836.44 × 2,649.98
  4. Step 4: Simplify right side
    9,225.29x = 36,666,289.27
  5. Step 5: Solve for x
    x = 36,666,289.27/9,225.29
  6. Step 6: Final answer
    x = 3,974.54

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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.