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Finding the Fourth Proportional to 9,632.62, 13,281.06 and 8,116.30

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Solution

The fourth proportional to 9,632.62, 13,281.06 and 8,116.30 is: 11,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.62 : 13,281.06 = 8,116.30 : x
  2. Step 2: Convert to fraction form
    9,632.62/13,281.06 = 8,116.30/x
  3. Step 3: Cross multiply
    9,632.62x = 13,281.06 × 8,116.30
  4. Step 4: Simplify right side
    9,632.62x = 107,793,067.28
  5. Step 5: Solve for x
    x = 107,793,067.28/9,632.62
  6. Step 6: Final answer
    x = 11,190.42

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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.