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Finding the Fourth Proportional to 6,117.90, 9,172.80 and 2,221.80

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Solution

The fourth proportional to 6,117.90, 9,172.80 and 2,221.80 is: 3,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.90 : 9,172.80 = 2,221.80 : x
  2. Step 2: Convert to fraction form
    6,117.90/9,172.80 = 2,221.80/x
  3. Step 3: Cross multiply
    6,117.90x = 9,172.80 × 2,221.80
  4. Step 4: Simplify right side
    6,117.90x = 20,380,127.04
  5. Step 5: Solve for x
    x = 20,380,127.04/6,117.90
  6. Step 6: Final answer
    x = 3,331.23

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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.