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Finding the Fourth Proportional to 9,568.92, 14,353.36 and 3,000.62

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Solution

The fourth proportional to 9,568.92, 14,353.36 and 3,000.62 is: 4,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.92 : 14,353.36 = 3,000.62 : x
  2. Step 2: Convert to fraction form
    9,568.92/14,353.36 = 3,000.62/x
  3. Step 3: Cross multiply
    9,568.92x = 14,353.36 × 3,000.62
  4. Step 4: Simplify right side
    9,568.92x = 43,068,979.08
  5. Step 5: Solve for x
    x = 43,068,979.08/9,568.92
  6. Step 6: Final answer
    x = 4,500.92

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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.