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Finding the Fourth Proportional to 9,568.34, 14,350.46 and 2,993.67

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Solution

The fourth proportional to 9,568.34, 14,350.46 and 2,993.67 is: 4,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.34 : 14,350.46 = 2,993.67 : x
  2. Step 2: Convert to fraction form
    9,568.34/14,350.46 = 2,993.67/x
  3. Step 3: Cross multiply
    9,568.34x = 14,350.46 × 2,993.67
  4. Step 4: Simplify right side
    9,568.34x = 42,960,541.59
  5. Step 5: Solve for x
    x = 42,960,541.59/9,568.34
  6. Step 6: Final answer
    x = 4,489.86

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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.