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Finding the Fourth Proportional to 9,563.64, 14,344.32 and 2,544.17

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Solution

The fourth proportional to 9,563.64, 14,344.32 and 2,544.17 is: 3,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.64 : 14,344.32 = 2,544.17 : x
  2. Step 2: Convert to fraction form
    9,563.64/14,344.32 = 2,544.17/x
  3. Step 3: Cross multiply
    9,563.64x = 14,344.32 × 2,544.17
  4. Step 4: Simplify right side
    9,563.64x = 36,494,434.02
  5. Step 5: Solve for x
    x = 36,494,434.02/9,563.64
  6. Step 6: Final answer
    x = 3,815.95

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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.