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Finding the Fourth Proportional to 11,538.88, 15,935.34 and 9,942.28

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Solution

The fourth proportional to 11,538.88, 15,935.34 and 9,942.28 is: 13,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.88 : 15,935.34 = 9,942.28 : x
  2. Step 2: Convert to fraction form
    11,538.88/15,935.34 = 9,942.28/x
  3. Step 3: Cross multiply
    11,538.88x = 15,935.34 × 9,942.28
  4. Step 4: Simplify right side
    11,538.88x = 158,433,612.18
  5. Step 5: Solve for x
    x = 158,433,612.18/11,538.88
  6. Step 6: Final answer
    x = 13,730.42

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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.