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Finding the Fourth Proportional to 9,759.84, 14,640.05 and 3,096.37

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Solution

The fourth proportional to 9,759.84, 14,640.05 and 3,096.37 is: 4,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.84 : 14,640.05 = 3,096.37 : x
  2. Step 2: Convert to fraction form
    9,759.84/14,640.05 = 3,096.37/x
  3. Step 3: Cross multiply
    9,759.84x = 14,640.05 × 3,096.37
  4. Step 4: Simplify right side
    9,759.84x = 45,331,012.13
  5. Step 5: Solve for x
    x = 45,331,012.13/9,759.84
  6. Step 6: Final answer
    x = 4,644.65

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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.