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Finding the Fourth Proportional to 6,080.80, 9,121.12 and 4,204.88

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Solution

The fourth proportional to 6,080.80, 9,121.12 and 4,204.88 is: 6,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.80 : 9,121.12 = 4,204.88 : x
  2. Step 2: Convert to fraction form
    6,080.80/9,121.12 = 4,204.88/x
  3. Step 3: Cross multiply
    6,080.80x = 9,121.12 × 4,204.88
  4. Step 4: Simplify right side
    6,080.80x = 38,353,215.07
  5. Step 5: Solve for x
    x = 38,353,215.07/6,080.80
  6. Step 6: Final answer
    x = 6,307.26

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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.