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Finding the Fourth Proportional to 6,576.24, 9,847.08 and 4,617.84

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Solution

The fourth proportional to 6,576.24, 9,847.08 and 4,617.84 is: 6,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.24 : 9,847.08 = 4,617.84 : x
  2. Step 2: Convert to fraction form
    6,576.24/9,847.08 = 4,617.84/x
  3. Step 3: Cross multiply
    6,576.24x = 9,847.08 × 4,617.84
  4. Step 4: Simplify right side
    6,576.24x = 45,472,239.91
  5. Step 5: Solve for x
    x = 45,472,239.91/6,576.24
  6. Step 6: Final answer
    x = 6,914.63

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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.