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Finding the Fourth Proportional to 9,568.46, 14,355.43 and 3,647.16

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Solution

The fourth proportional to 9,568.46, 14,355.43 and 3,647.16 is: 5,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.46 : 14,355.43 = 3,647.16 : x
  2. Step 2: Convert to fraction form
    9,568.46/14,355.43 = 3,647.16/x
  3. Step 3: Cross multiply
    9,568.46x = 14,355.43 × 3,647.16
  4. Step 4: Simplify right side
    9,568.46x = 52,356,540.96
  5. Step 5: Solve for x
    x = 52,356,540.96/9,568.46
  6. Step 6: Final answer
    x = 5,471.78

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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.