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Finding the Fourth Proportional to 6,180.64, 9,274.60 and 2,287.76

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Solution

The fourth proportional to 6,180.64, 9,274.60 and 2,287.76 is: 3,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.64 : 9,274.60 = 2,287.76 : x
  2. Step 2: Convert to fraction form
    6,180.64/9,274.60 = 2,287.76/x
  3. Step 3: Cross multiply
    6,180.64x = 9,274.60 × 2,287.76
  4. Step 4: Simplify right side
    6,180.64x = 21,218,058.90
  5. Step 5: Solve for x
    x = 21,218,058.90/6,180.64
  6. Step 6: Final answer
    x = 3,432.99

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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.