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Finding the Fourth Proportional to 9,757.28, 14,635.94 and 5,624.30

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Solution

The fourth proportional to 9,757.28, 14,635.94 and 5,624.30 is: 8,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.28 : 14,635.94 = 5,624.30 : x
  2. Step 2: Convert to fraction form
    9,757.28/14,635.94 = 5,624.30/x
  3. Step 3: Cross multiply
    9,757.28x = 14,635.94 × 5,624.30
  4. Step 4: Simplify right side
    9,757.28x = 82,316,816.04
  5. Step 5: Solve for x
    x = 82,316,816.04/9,757.28
  6. Step 6: Final answer
    x = 8,436.46

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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.