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Finding the Fourth Proportional to 6,128.40, 9,193.24 and 1,967.42

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Solution

The fourth proportional to 6,128.40, 9,193.24 and 1,967.42 is: 2,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.40 : 9,193.24 = 1,967.42 : x
  2. Step 2: Convert to fraction form
    6,128.40/9,193.24 = 1,967.42/x
  3. Step 3: Cross multiply
    6,128.40x = 9,193.24 × 1,967.42
  4. Step 4: Simplify right side
    6,128.40x = 18,086,964.24
  5. Step 5: Solve for x
    x = 18,086,964.24/6,128.40
  6. Step 6: Final answer
    x = 2,951.34

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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.