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Finding the Fourth Proportional to 9,606.96, 14,406.66 and 3,761.64

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Solution

The fourth proportional to 9,606.96, 14,406.66 and 3,761.64 is: 5,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.96 : 14,406.66 = 3,761.64 : x
  2. Step 2: Convert to fraction form
    9,606.96/14,406.66 = 3,761.64/x
  3. Step 3: Cross multiply
    9,606.96x = 14,406.66 × 3,761.64
  4. Step 4: Simplify right side
    9,606.96x = 54,192,668.52
  5. Step 5: Solve for x
    x = 54,192,668.52/9,606.96
  6. Step 6: Final answer
    x = 5,640.98

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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.