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Finding the Fourth Proportional to 9,568.56, 14,353.20 and 3,328.32

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Solution

The fourth proportional to 9,568.56, 14,353.20 and 3,328.32 is: 4,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.56 : 14,353.20 = 3,328.32 : x
  2. Step 2: Convert to fraction form
    9,568.56/14,353.20 = 3,328.32/x
  3. Step 3: Cross multiply
    9,568.56x = 14,353.20 × 3,328.32
  4. Step 4: Simplify right side
    9,568.56x = 47,772,042.62
  5. Step 5: Solve for x
    x = 47,772,042.62/9,568.56
  6. Step 6: Final answer
    x = 4,992.61

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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.