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Finding the Fourth Proportional to 9,568.76, 14,356.82 and 3,329.44

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Solution

The fourth proportional to 9,568.76, 14,356.82 and 3,329.44 is: 4,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.76 : 14,356.82 = 3,329.44 : x
  2. Step 2: Convert to fraction form
    9,568.76/14,356.82 = 3,329.44/x
  3. Step 3: Cross multiply
    9,568.76x = 14,356.82 × 3,329.44
  4. Step 4: Simplify right side
    9,568.76x = 47,800,170.78
  5. Step 5: Solve for x
    x = 47,800,170.78/9,568.76
  6. Step 6: Final answer
    x = 4,995.44

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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.