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Finding the Fourth Proportional to 6,159.20, 9,233.80 and 1,940.28

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Solution

The fourth proportional to 6,159.20, 9,233.80 and 1,940.28 is: 2,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.20 : 9,233.80 = 1,940.28 : x
  2. Step 2: Convert to fraction form
    6,159.20/9,233.80 = 1,940.28/x
  3. Step 3: Cross multiply
    6,159.20x = 9,233.80 × 1,940.28
  4. Step 4: Simplify right side
    6,159.20x = 17,916,157.46
  5. Step 5: Solve for x
    x = 17,916,157.46/6,159.20
  6. Step 6: Final answer
    x = 2,908.84

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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.