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Finding the Fourth Proportional to 9,894.54, 13,654.41 and 5,418.21

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Solution

The fourth proportional to 9,894.54, 13,654.41 and 5,418.21 is: 7,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.54 : 13,654.41 = 5,418.21 : x
  2. Step 2: Convert to fraction form
    9,894.54/13,654.41 = 5,418.21/x
  3. Step 3: Cross multiply
    9,894.54x = 13,654.41 × 5,418.21
  4. Step 4: Simplify right side
    9,894.54x = 73,982,460.81
  5. Step 5: Solve for x
    x = 73,982,460.81/9,894.54
  6. Step 6: Final answer
    x = 7,477.10

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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.