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Finding the Fourth Proportional to 9,894.44, 13,654.32 and 5,418.17

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Solution

The fourth proportional to 9,894.44, 13,654.32 and 5,418.17 is: 7,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.44 : 13,654.32 = 5,418.17 : x
  2. Step 2: Convert to fraction form
    9,894.44/13,654.32 = 5,418.17/x
  3. Step 3: Cross multiply
    9,894.44x = 13,654.32 × 5,418.17
  4. Step 4: Simplify right side
    9,894.44x = 73,981,496.89
  5. Step 5: Solve for x
    x = 73,981,496.89/9,894.44
  6. Step 6: Final answer
    x = 7,477.08

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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.