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Finding the Fourth Proportional to 6,340.85, 9,497.41 and 3,215.49

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Solution

The fourth proportional to 6,340.85, 9,497.41 and 3,215.49 is: 4,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.85 : 9,497.41 = 3,215.49 : x
  2. Step 2: Convert to fraction form
    6,340.85/9,497.41 = 3,215.49/x
  3. Step 3: Cross multiply
    6,340.85x = 9,497.41 × 3,215.49
  4. Step 4: Simplify right side
    6,340.85x = 30,538,826.88
  5. Step 5: Solve for x
    x = 30,538,826.88/6,340.85
  6. Step 6: Final answer
    x = 4,816.20

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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.