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Finding the Fourth Proportional to 6,154.97, 9,237.30 and 2,260.49

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Solution

The fourth proportional to 6,154.97, 9,237.30 and 2,260.49 is: 3,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.97 : 9,237.30 = 2,260.49 : x
  2. Step 2: Convert to fraction form
    6,154.97/9,237.30 = 2,260.49/x
  3. Step 3: Cross multiply
    6,154.97x = 9,237.30 × 2,260.49
  4. Step 4: Simplify right side
    6,154.97x = 20,880,824.28
  5. Step 5: Solve for x
    x = 20,880,824.28/6,154.97
  6. Step 6: Final answer
    x = 3,392.51

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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.