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Finding the Fourth Proportional to 6,080.26, 9,113.70 and 2,381.80

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Solution

The fourth proportional to 6,080.26, 9,113.70 and 2,381.80 is: 3,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.26 : 9,113.70 = 2,381.80 : x
  2. Step 2: Convert to fraction form
    6,080.26/9,113.70 = 2,381.80/x
  3. Step 3: Cross multiply
    6,080.26x = 9,113.70 × 2,381.80
  4. Step 4: Simplify right side
    6,080.26x = 21,706,965.09
  5. Step 5: Solve for x
    x = 21,706,965.09/6,080.26
  6. Step 6: Final answer
    x = 3,570.07

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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.