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Finding the Fourth Proportional to 6,305.42, 9,448.36 and 4,331.99

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Solution

The fourth proportional to 6,305.42, 9,448.36 and 4,331.99 is: 6,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.42 : 9,448.36 = 4,331.99 : x
  2. Step 2: Convert to fraction form
    6,305.42/9,448.36 = 4,331.99/x
  3. Step 3: Cross multiply
    6,305.42x = 9,448.36 × 4,331.99
  4. Step 4: Simplify right side
    6,305.42x = 40,930,201.04
  5. Step 5: Solve for x
    x = 40,930,201.04/6,305.42
  6. Step 6: Final answer
    x = 6,491.27

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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.