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Finding the Fourth Proportional to 9,633.22, 13,293.78 and 5,441.44

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Solution

The fourth proportional to 9,633.22, 13,293.78 and 5,441.44 is: 7,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.22 : 13,293.78 = 5,441.44 : x
  2. Step 2: Convert to fraction form
    9,633.22/13,293.78 = 5,441.44/x
  3. Step 3: Cross multiply
    9,633.22x = 13,293.78 × 5,441.44
  4. Step 4: Simplify right side
    9,633.22x = 72,337,306.24
  5. Step 5: Solve for x
    x = 72,337,306.24/9,633.22
  6. Step 6: Final answer
    x = 7,509.15

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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.