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Finding the Fourth Proportional to 9,267.44, 13,894.68 and 3,422.48

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Solution

The fourth proportional to 9,267.44, 13,894.68 and 3,422.48 is: 5,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.44 : 13,894.68 = 3,422.48 : x
  2. Step 2: Convert to fraction form
    9,267.44/13,894.68 = 3,422.48/x
  3. Step 3: Cross multiply
    9,267.44x = 13,894.68 × 3,422.48
  4. Step 4: Simplify right side
    9,267.44x = 47,554,264.41
  5. Step 5: Solve for x
    x = 47,554,264.41/9,267.44
  6. Step 6: Final answer
    x = 5,131.33

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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.