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Finding the Fourth Proportional to 9,105, 13,654.45 and 3,556.90

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Solution

The fourth proportional to 9,105, 13,654.45 and 3,556.90 is: 5,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105 : 13,654.45 = 3,556.90 : x
  2. Step 2: Convert to fraction form
    9,105/13,654.45 = 3,556.90/x
  3. Step 3: Cross multiply
    9,105x = 13,654.45 × 3,556.90
  4. Step 4: Simplify right side
    9,105x = 48,567,513.21
  5. Step 5: Solve for x
    x = 48,567,513.21/9,105
  6. Step 6: Final answer
    x = 5,334.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.