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Finding the Fourth Proportional to 6,959.40, 10,439.10 and 4,194.60

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Solution

The fourth proportional to 6,959.40, 10,439.10 and 4,194.60 is: 6,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.40 : 10,439.10 = 4,194.60 : x
  2. Step 2: Convert to fraction form
    6,959.40/10,439.10 = 4,194.60/x
  3. Step 3: Cross multiply
    6,959.40x = 10,439.10 × 4,194.60
  4. Step 4: Simplify right side
    6,959.40x = 43,787,848.86
  5. Step 5: Solve for x
    x = 43,787,848.86/6,959.40
  6. Step 6: Final answer
    x = 6,291.90

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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.