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Finding the Fourth Proportional to 9,684.39, 14,529 and 2,758.89

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Solution

The fourth proportional to 9,684.39, 14,529 and 2,758.89 is: 4,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.39 : 14,529 = 2,758.89 : x
  2. Step 2: Convert to fraction form
    9,684.39/14,529 = 2,758.89/x
  3. Step 3: Cross multiply
    9,684.39x = 14,529 × 2,758.89
  4. Step 4: Simplify right side
    9,684.39x = 40,083,912.81
  5. Step 5: Solve for x
    x = 40,083,912.81/9,684.39
  6. Step 6: Final answer
    x = 4,139.02

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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.