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Finding the Fourth Proportional to 9,444.22, 13,033.10 and 5,195.14

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Solution

The fourth proportional to 9,444.22, 13,033.10 and 5,195.14 is: 7,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.22 : 13,033.10 = 5,195.14 : x
  2. Step 2: Convert to fraction form
    9,444.22/13,033.10 = 5,195.14/x
  3. Step 3: Cross multiply
    9,444.22x = 13,033.10 × 5,195.14
  4. Step 4: Simplify right side
    9,444.22x = 67,708,759.54
  5. Step 5: Solve for x
    x = 67,708,759.54/9,444.22
  6. Step 6: Final answer
    x = 7,169.34

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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.