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Finding the Fourth Proportional to 9,942.96, 14,912.12 and 4,393.28

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Solution

The fourth proportional to 9,942.96, 14,912.12 and 4,393.28 is: 6,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.96 : 14,912.12 = 4,393.28 : x
  2. Step 2: Convert to fraction form
    9,942.96/14,912.12 = 4,393.28/x
  3. Step 3: Cross multiply
    9,942.96x = 14,912.12 × 4,393.28
  4. Step 4: Simplify right side
    9,942.96x = 65,513,022.03
  5. Step 5: Solve for x
    x = 65,513,022.03/9,942.96
  6. Step 6: Final answer
    x = 6,588.89

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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.