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Finding the Fourth Proportional to 9,568.28, 14,352.42 and 2,994.52

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Solution

The fourth proportional to 9,568.28, 14,352.42 and 2,994.52 is: 4,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.28 : 14,352.42 = 2,994.52 : x
  2. Step 2: Convert to fraction form
    9,568.28/14,352.42 = 2,994.52/x
  3. Step 3: Cross multiply
    9,568.28x = 14,352.42 × 2,994.52
  4. Step 4: Simplify right side
    9,568.28x = 42,978,608.74
  5. Step 5: Solve for x
    x = 42,978,608.74/9,568.28
  6. Step 6: Final answer
    x = 4,491.78

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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.