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Finding the Fourth Proportional to 6,267.81, 9,411.72 and 5,491.44

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Solution

The fourth proportional to 6,267.81, 9,411.72 and 5,491.44 is: 8,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.81 : 9,411.72 = 5,491.44 : x
  2. Step 2: Convert to fraction form
    6,267.81/9,411.72 = 5,491.44/x
  3. Step 3: Cross multiply
    6,267.81x = 9,411.72 × 5,491.44
  4. Step 4: Simplify right side
    6,267.81x = 51,683,895.68
  5. Step 5: Solve for x
    x = 51,683,895.68/6,267.81
  6. Step 6: Final answer
    x = 8,245.93

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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.