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Finding the Fourth Proportional to 9,651.96, 14,474.87 and 3,076.61

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Solution

The fourth proportional to 9,651.96, 14,474.87 and 3,076.61 is: 4,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.96 : 14,474.87 = 3,076.61 : x
  2. Step 2: Convert to fraction form
    9,651.96/14,474.87 = 3,076.61/x
  3. Step 3: Cross multiply
    9,651.96x = 14,474.87 × 3,076.61
  4. Step 4: Simplify right side
    9,651.96x = 44,533,529.79
  5. Step 5: Solve for x
    x = 44,533,529.79/9,651.96
  6. Step 6: Final answer
    x = 4,613.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.