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Finding the Fourth Proportional to 6,180.68, 9,271.41 and 2,021.13

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Solution

The fourth proportional to 6,180.68, 9,271.41 and 2,021.13 is: 3,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.68 : 9,271.41 = 2,021.13 : x
  2. Step 2: Convert to fraction form
    6,180.68/9,271.41 = 2,021.13/x
  3. Step 3: Cross multiply
    6,180.68x = 9,271.41 × 2,021.13
  4. Step 4: Simplify right side
    6,180.68x = 18,738,714.79
  5. Step 5: Solve for x
    x = 18,738,714.79/6,180.68
  6. Step 6: Final answer
    x = 3,031.82

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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.