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Finding the Fourth Proportional to 6,086.40, 9,139.20 and 3,494.40

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Solution

The fourth proportional to 6,086.40, 9,139.20 and 3,494.40 is: 5,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.40 : 9,139.20 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    6,086.40/9,139.20 = 3,494.40/x
  3. Step 3: Cross multiply
    6,086.40x = 9,139.20 × 3,494.40
  4. Step 4: Simplify right side
    6,086.40x = 31,936,020.48
  5. Step 5: Solve for x
    x = 31,936,020.48/6,086.40
  6. Step 6: Final answer
    x = 5,247.11

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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.