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Finding the Fourth Proportional to 9,624.69, 13,260.78 and 8,025.57

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Solution

The fourth proportional to 9,624.69, 13,260.78 and 8,025.57 is: 11,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.69 : 13,260.78 = 8,025.57 : x
  2. Step 2: Convert to fraction form
    9,624.69/13,260.78 = 8,025.57/x
  3. Step 3: Cross multiply
    9,624.69x = 13,260.78 × 8,025.57
  4. Step 4: Simplify right side
    9,624.69x = 106,425,318.14
  5. Step 5: Solve for x
    x = 106,425,318.14/9,624.69
  6. Step 6: Final answer
    x = 11,057.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.