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Finding the Fourth Proportional to 9,472.97, 13,078.31 and 8,422.13

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Solution

The fourth proportional to 9,472.97, 13,078.31 and 8,422.13 is: 11,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.97 : 13,078.31 = 8,422.13 : x
  2. Step 2: Convert to fraction form
    9,472.97/13,078.31 = 8,422.13/x
  3. Step 3: Cross multiply
    9,472.97x = 13,078.31 × 8,422.13
  4. Step 4: Simplify right side
    9,472.97x = 110,147,119.50
  5. Step 5: Solve for x
    x = 110,147,119.50/9,472.97
  6. Step 6: Final answer
    x = 11,627.52

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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.