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Finding the Fourth Proportional to 6,328.05, 9,491.53 and 2,168.16

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Solution

The fourth proportional to 6,328.05, 9,491.53 and 2,168.16 is: 3,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.05 : 9,491.53 = 2,168.16 : x
  2. Step 2: Convert to fraction form
    6,328.05/9,491.53 = 2,168.16/x
  3. Step 3: Cross multiply
    6,328.05x = 9,491.53 × 2,168.16
  4. Step 4: Simplify right side
    6,328.05x = 20,579,155.68
  5. Step 5: Solve for x
    x = 20,579,155.68/6,328.05
  6. Step 6: Final answer
    x = 3,252.05

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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.