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Finding the Fourth Proportional to 9,480.27, 14,221.50 and 3,932.91

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Solution

The fourth proportional to 9,480.27, 14,221.50 and 3,932.91 is: 5,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.27 : 14,221.50 = 3,932.91 : x
  2. Step 2: Convert to fraction form
    9,480.27/14,221.50 = 3,932.91/x
  3. Step 3: Cross multiply
    9,480.27x = 14,221.50 × 3,932.91
  4. Step 4: Simplify right side
    9,480.27x = 55,931,879.57
  5. Step 5: Solve for x
    x = 55,931,879.57/9,480.27
  6. Step 6: Final answer
    x = 5,899.82

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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.