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Finding the Fourth Proportional to 9,563.38, 14,353.72 and 4,020.82

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Solution

The fourth proportional to 9,563.38, 14,353.72 and 4,020.82 is: 6,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.38 : 14,353.72 = 4,020.82 : x
  2. Step 2: Convert to fraction form
    9,563.38/14,353.72 = 4,020.82/x
  3. Step 3: Cross multiply
    9,563.38x = 14,353.72 × 4,020.82
  4. Step 4: Simplify right side
    9,563.38x = 57,713,724.45
  5. Step 5: Solve for x
    x = 57,713,724.45/9,563.38
  6. Step 6: Final answer
    x = 6,034.87

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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.