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Finding the Fourth Proportional to 9,225.40, 13,837.20 and 2,651.44

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Solution

The fourth proportional to 9,225.40, 13,837.20 and 2,651.44 is: 3,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.40 : 13,837.20 = 2,651.44 : x
  2. Step 2: Convert to fraction form
    9,225.40/13,837.20 = 2,651.44/x
  3. Step 3: Cross multiply
    9,225.40x = 13,837.20 × 2,651.44
  4. Step 4: Simplify right side
    9,225.40x = 36,688,505.57
  5. Step 5: Solve for x
    x = 36,688,505.57/9,225.40
  6. Step 6: Final answer
    x = 3,976.90

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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.