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Finding the Fourth Proportional to 8,936.34, 13,408.98 and 4,009.50

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Solution

The fourth proportional to 8,936.34, 13,408.98 and 4,009.50 is: 6,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.34 : 13,408.98 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    8,936.34/13,408.98 = 4,009.50/x
  3. Step 3: Cross multiply
    8,936.34x = 13,408.98 × 4,009.50
  4. Step 4: Simplify right side
    8,936.34x = 53,763,305.31
  5. Step 5: Solve for x
    x = 53,763,305.31/8,936.34
  6. Step 6: Final answer
    x = 6,016.26

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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.