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Finding the Fourth Proportional to 9,760.50, 14,640.76 and 3,604.50

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Solution

The fourth proportional to 9,760.50, 14,640.76 and 3,604.50 is: 5,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 14,640.76 = 3,604.50 : x
  2. Step 2: Convert to fraction form
    9,760.50/14,640.76 = 3,604.50/x
  3. Step 3: Cross multiply
    9,760.50x = 14,640.76 × 3,604.50
  4. Step 4: Simplify right side
    9,760.50x = 52,772,619.42
  5. Step 5: Solve for x
    x = 52,772,619.42/9,760.50
  6. Step 6: Final answer
    x = 5,406.75

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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.