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Finding the Fourth Proportional to 8,971.68, 13,453.92 and 3,422.04

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Solution

The fourth proportional to 8,971.68, 13,453.92 and 3,422.04 is: 5,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.68 : 13,453.92 = 3,422.04 : x
  2. Step 2: Convert to fraction form
    8,971.68/13,453.92 = 3,422.04/x
  3. Step 3: Cross multiply
    8,971.68x = 13,453.92 × 3,422.04
  4. Step 4: Simplify right side
    8,971.68x = 46,039,852.40
  5. Step 5: Solve for x
    x = 46,039,852.40/8,971.68
  6. Step 6: Final answer
    x = 5,131.69

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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.