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Finding the Fourth Proportional to 6,324.14, 9,491.38 and 4,477.05

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Solution

The fourth proportional to 6,324.14, 9,491.38 and 4,477.05 is: 6,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.14 : 9,491.38 = 4,477.05 : x
  2. Step 2: Convert to fraction form
    6,324.14/9,491.38 = 4,477.05/x
  3. Step 3: Cross multiply
    6,324.14x = 9,491.38 × 4,477.05
  4. Step 4: Simplify right side
    6,324.14x = 42,493,371.64
  5. Step 5: Solve for x
    x = 42,493,371.64/6,324.14
  6. Step 6: Final answer
    x = 6,719.23

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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.