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Finding the Fourth Proportional to 6,180.71, 9,270.12 and 2,020.74

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Solution

The fourth proportional to 6,180.71, 9,270.12 and 2,020.74 is: 3,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.71 : 9,270.12 = 2,020.74 : x
  2. Step 2: Convert to fraction form
    6,180.71/9,270.12 = 2,020.74/x
  3. Step 3: Cross multiply
    6,180.71x = 9,270.12 × 2,020.74
  4. Step 4: Simplify right side
    6,180.71x = 18,732,502.29
  5. Step 5: Solve for x
    x = 18,732,502.29/6,180.71
  6. Step 6: Final answer
    x = 3,030.80

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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.