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Finding the Fourth Proportional to 9,754.20, 14,609.43 and 5,850.54

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Solution

The fourth proportional to 9,754.20, 14,609.43 and 5,850.54 is: 8,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.20 : 14,609.43 = 5,850.54 : x
  2. Step 2: Convert to fraction form
    9,754.20/14,609.43 = 5,850.54/x
  3. Step 3: Cross multiply
    9,754.20x = 14,609.43 × 5,850.54
  4. Step 4: Simplify right side
    9,754.20x = 85,473,054.59
  5. Step 5: Solve for x
    x = 85,473,054.59/9,754.20
  6. Step 6: Final answer
    x = 8,762.69

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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.