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Finding the Fourth Proportional to 9,785.04, 14,679.32 and 3,942

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Solution

The fourth proportional to 9,785.04, 14,679.32 and 3,942 is: 5,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.04 : 14,679.32 = 3,942 : x
  2. Step 2: Convert to fraction form
    9,785.04/14,679.32 = 3,942/x
  3. Step 3: Cross multiply
    9,785.04x = 14,679.32 × 3,942
  4. Step 4: Simplify right side
    9,785.04x = 57,865,879.44
  5. Step 5: Solve for x
    x = 57,865,879.44/9,785.04
  6. Step 6: Final answer
    x = 5,913.71

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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.