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Finding the Fourth Proportional to 9,867.08, 14,791 and 3,942.20

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Solution

The fourth proportional to 9,867.08, 14,791 and 3,942.20 is: 5,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.08 : 14,791 = 3,942.20 : x
  2. Step 2: Convert to fraction form
    9,867.08/14,791 = 3,942.20/x
  3. Step 3: Cross multiply
    9,867.08x = 14,791 × 3,942.20
  4. Step 4: Simplify right side
    9,867.08x = 58,309,080.20
  5. Step 5: Solve for x
    x = 58,309,080.20/9,867.08
  6. Step 6: Final answer
    x = 5,909.46

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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.