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Finding the Fourth Proportional to 9,794.34, 13,519.04 and 5,967.36

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Solution

The fourth proportional to 9,794.34, 13,519.04 and 5,967.36 is: 8,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.34 : 13,519.04 = 5,967.36 : x
  2. Step 2: Convert to fraction form
    9,794.34/13,519.04 = 5,967.36/x
  3. Step 3: Cross multiply
    9,794.34x = 13,519.04 × 5,967.36
  4. Step 4: Simplify right side
    9,794.34x = 80,672,948.70
  5. Step 5: Solve for x
    x = 80,672,948.70/9,794.34
  6. Step 6: Final answer
    x = 8,236.69

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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.