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Finding the Fourth Proportional to 9,722.32, 13,408.78 and 6,179.36

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Solution

The fourth proportional to 9,722.32, 13,408.78 and 6,179.36 is: 8,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.32 : 13,408.78 = 6,179.36 : x
  2. Step 2: Convert to fraction form
    9,722.32/13,408.78 = 6,179.36/x
  3. Step 3: Cross multiply
    9,722.32x = 13,408.78 × 6,179.36
  4. Step 4: Simplify right side
    9,722.32x = 82,857,678.78
  5. Step 5: Solve for x
    x = 82,857,678.78/9,722.32
  6. Step 6: Final answer
    x = 8,522.42

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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.