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Finding the Fourth Proportional to 9,942.01, 14,902.07 and 4,095.43

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Solution

The fourth proportional to 9,942.01, 14,902.07 and 4,095.43 is: 6,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.01 : 14,902.07 = 4,095.43 : x
  2. Step 2: Convert to fraction form
    9,942.01/14,902.07 = 4,095.43/x
  3. Step 3: Cross multiply
    9,942.01x = 14,902.07 × 4,095.43
  4. Step 4: Simplify right side
    9,942.01x = 61,030,310.03
  5. Step 5: Solve for x
    x = 61,030,310.03/9,942.01
  6. Step 6: Final answer
    x = 6,138.63

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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.