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Finding the Fourth Proportional to 7,128.63, 9,837.63 and 3,942.09

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Solution

The fourth proportional to 7,128.63, 9,837.63 and 3,942.09 is: 5,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.63 : 9,837.63 = 3,942.09 : x
  2. Step 2: Convert to fraction form
    7,128.63/9,837.63 = 3,942.09/x
  3. Step 3: Cross multiply
    7,128.63x = 9,837.63 × 3,942.09
  4. Step 4: Simplify right side
    7,128.63x = 38,780,822.85
  5. Step 5: Solve for x
    x = 38,780,822.85/7,128.63
  6. Step 6: Final answer
    x = 5,440.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.