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Finding the Fourth Proportional to 9,756.89, 14,633.84 and 3,183.07

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Solution

The fourth proportional to 9,756.89, 14,633.84 and 3,183.07 is: 4,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.89 : 14,633.84 = 3,183.07 : x
  2. Step 2: Convert to fraction form
    9,756.89/14,633.84 = 3,183.07/x
  3. Step 3: Cross multiply
    9,756.89x = 14,633.84 × 3,183.07
  4. Step 4: Simplify right side
    9,756.89x = 46,580,537.09
  5. Step 5: Solve for x
    x = 46,580,537.09/9,756.89
  6. Step 6: Final answer
    x = 4,774.12

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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.