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Finding the Fourth Proportional to 9,630.96, 13,239.68 and 8,281.62

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Solution

The fourth proportional to 9,630.96, 13,239.68 and 8,281.62 is: 11,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.96 : 13,239.68 = 8,281.62 : x
  2. Step 2: Convert to fraction form
    9,630.96/13,239.68 = 8,281.62/x
  3. Step 3: Cross multiply
    9,630.96x = 13,239.68 × 8,281.62
  4. Step 4: Simplify right side
    9,630.96x = 109,645,932.48
  5. Step 5: Solve for x
    x = 109,645,932.48/9,630.96
  6. Step 6: Final answer
    x = 11,384.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.