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Finding the Fourth Proportional to 9,444.60, 13,033.22 and 5,195.64

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Solution

The fourth proportional to 9,444.60, 13,033.22 and 5,195.64 is: 7,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.60 : 13,033.22 = 5,195.64 : x
  2. Step 2: Convert to fraction form
    9,444.60/13,033.22 = 5,195.64/x
  3. Step 3: Cross multiply
    9,444.60x = 13,033.22 × 5,195.64
  4. Step 4: Simplify right side
    9,444.60x = 67,715,919.16
  5. Step 5: Solve for x
    x = 67,715,919.16/9,444.60
  6. Step 6: Final answer
    x = 7,169.80

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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.