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Finding the Fourth Proportional to 9,894.28, 13,654.10 and 5,418.31

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Solution

The fourth proportional to 9,894.28, 13,654.10 and 5,418.31 is: 7,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.28 : 13,654.10 = 5,418.31 : x
  2. Step 2: Convert to fraction form
    9,894.28/13,654.10 = 5,418.31/x
  3. Step 3: Cross multiply
    9,894.28x = 13,654.10 × 5,418.31
  4. Step 4: Simplify right side
    9,894.28x = 73,982,146.57
  5. Step 5: Solve for x
    x = 73,982,146.57/9,894.28
  6. Step 6: Final answer
    x = 7,477.26

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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.