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Finding the Fourth Proportional to 9,568.17, 14,344.52 and 2,990.97

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Solution

The fourth proportional to 9,568.17, 14,344.52 and 2,990.97 is: 4,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.17 : 14,344.52 = 2,990.97 : x
  2. Step 2: Convert to fraction form
    9,568.17/14,344.52 = 2,990.97/x
  3. Step 3: Cross multiply
    9,568.17x = 14,344.52 × 2,990.97
  4. Step 4: Simplify right side
    9,568.17x = 42,904,014.03
  5. Step 5: Solve for x
    x = 42,904,014.03/9,568.17
  6. Step 6: Final answer
    x = 4,484.04

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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.