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Finding the Fourth Proportional to 9,735.92, 14,604.36 and 2,715.92

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Solution

The fourth proportional to 9,735.92, 14,604.36 and 2,715.92 is: 4,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.92 : 14,604.36 = 2,715.92 : x
  2. Step 2: Convert to fraction form
    9,735.92/14,604.36 = 2,715.92/x
  3. Step 3: Cross multiply
    9,735.92x = 14,604.36 × 2,715.92
  4. Step 4: Simplify right side
    9,735.92x = 39,664,273.41
  5. Step 5: Solve for x
    x = 39,664,273.41/9,735.92
  6. Step 6: Final answer
    x = 4,074.01

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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.