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Finding the Fourth Proportional to 9,138.12, 13,698.92 and 3,290.63

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Solution

The fourth proportional to 9,138.12, 13,698.92 and 3,290.63 is: 4,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.12 : 13,698.92 = 3,290.63 : x
  2. Step 2: Convert to fraction form
    9,138.12/13,698.92 = 3,290.63/x
  3. Step 3: Cross multiply
    9,138.12x = 13,698.92 × 3,290.63
  4. Step 4: Simplify right side
    9,138.12x = 45,078,016.85
  5. Step 5: Solve for x
    x = 45,078,016.85/9,138.12
  6. Step 6: Final answer
    x = 4,932.97

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