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Finding the Fourth Proportional to 6,180.71, 9,271.46 and 2,283.80

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Solution

The fourth proportional to 6,180.71, 9,271.46 and 2,283.80 is: 3,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.71 : 9,271.46 = 2,283.80 : x
  2. Step 2: Convert to fraction form
    6,180.71/9,271.46 = 2,283.80/x
  3. Step 3: Cross multiply
    6,180.71x = 9,271.46 × 2,283.80
  4. Step 4: Simplify right side
    6,180.71x = 21,174,119.70
  5. Step 5: Solve for x
    x = 21,174,119.70/6,180.71
  6. Step 6: Final answer
    x = 3,425.84

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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.