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Finding the Fourth Proportional to 9,894.89, 13,654.76 and 5,418.42

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Solution

The fourth proportional to 9,894.89, 13,654.76 and 5,418.42 is: 7,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.89 : 13,654.76 = 5,418.42 : x
  2. Step 2: Convert to fraction form
    9,894.89/13,654.76 = 5,418.42/x
  3. Step 3: Cross multiply
    9,894.89x = 13,654.76 × 5,418.42
  4. Step 4: Simplify right side
    9,894.89x = 73,987,224.68
  5. Step 5: Solve for x
    x = 73,987,224.68/9,894.89
  6. Step 6: Final answer
    x = 7,477.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.