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Finding the Fourth Proportional to 8,934, 13,401.96 and 4,005.84

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Solution

The fourth proportional to 8,934, 13,401.96 and 4,005.84 is: 6,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934 : 13,401.96 = 4,005.84 : x
  2. Step 2: Convert to fraction form
    8,934/13,401.96 = 4,005.84/x
  3. Step 3: Cross multiply
    8,934x = 13,401.96 × 4,005.84
  4. Step 4: Simplify right side
    8,934x = 53,686,107.45
  5. Step 5: Solve for x
    x = 53,686,107.45/8,934
  6. Step 6: Final answer
    x = 6,009.19

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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.