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Finding the Fourth Proportional to 6,182.74, 9,274.12 and 4,106.80

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Solution

The fourth proportional to 6,182.74, 9,274.12 and 4,106.80 is: 6,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.74 : 9,274.12 = 4,106.80 : x
  2. Step 2: Convert to fraction form
    6,182.74/9,274.12 = 4,106.80/x
  3. Step 3: Cross multiply
    6,182.74x = 9,274.12 × 4,106.80
  4. Step 4: Simplify right side
    6,182.74x = 38,086,957.34
  5. Step 5: Solve for x
    x = 38,086,957.34/6,182.74
  6. Step 6: Final answer
    x = 6,160.21

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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.