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Finding the Fourth Proportional to 9,894.29, 13,654.32 and 5,418.01

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Solution

The fourth proportional to 9,894.29, 13,654.32 and 5,418.01 is: 7,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.29 : 13,654.32 = 5,418.01 : x
  2. Step 2: Convert to fraction form
    9,894.29/13,654.32 = 5,418.01/x
  3. Step 3: Cross multiply
    9,894.29x = 13,654.32 × 5,418.01
  4. Step 4: Simplify right side
    9,894.29x = 73,979,242.30
  5. Step 5: Solve for x
    x = 73,979,242.30/9,894.29
  6. Step 6: Final answer
    x = 7,476.96

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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.