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Finding the Fourth Proportional to 9,563.10, 14,344.65 and 4,022.70

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Solution

The fourth proportional to 9,563.10, 14,344.65 and 4,022.70 is: 6,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.10 : 14,344.65 = 4,022.70 : x
  2. Step 2: Convert to fraction form
    9,563.10/14,344.65 = 4,022.70/x
  3. Step 3: Cross multiply
    9,563.10x = 14,344.65 × 4,022.70
  4. Step 4: Simplify right side
    9,563.10x = 57,704,223.56
  5. Step 5: Solve for x
    x = 57,704,223.56/9,563.10
  6. Step 6: Final answer
    x = 6,034.05

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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.