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Finding the Fourth Proportional to 6,394.76, 9,591.07 and 2,011.20

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Solution

The fourth proportional to 6,394.76, 9,591.07 and 2,011.20 is: 3,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.76 : 9,591.07 = 2,011.20 : x
  2. Step 2: Convert to fraction form
    6,394.76/9,591.07 = 2,011.20/x
  3. Step 3: Cross multiply
    6,394.76x = 9,591.07 × 2,011.20
  4. Step 4: Simplify right side
    6,394.76x = 19,289,559.98
  5. Step 5: Solve for x
    x = 19,289,559.98/6,394.76
  6. Step 6: Final answer
    x = 3,016.46

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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.