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Finding the Fourth Proportional to 9,216.40, 13,824.60 and 2,642.44

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Solution

The fourth proportional to 9,216.40, 13,824.60 and 2,642.44 is: 3,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.40 : 13,824.60 = 2,642.44 : x
  2. Step 2: Convert to fraction form
    9,216.40/13,824.60 = 2,642.44/x
  3. Step 3: Cross multiply
    9,216.40x = 13,824.60 × 2,642.44
  4. Step 4: Simplify right side
    9,216.40x = 36,530,676.02
  5. Step 5: Solve for x
    x = 36,530,676.02/9,216.40
  6. Step 6: Final answer
    x = 3,963.66

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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.