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Finding the Fourth Proportional to 9,443.64, 14,221.69 and 8,225.76

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Solution

The fourth proportional to 9,443.64, 14,221.69 and 8,225.76 is: 12,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.64 : 14,221.69 = 8,225.76 : x
  2. Step 2: Convert to fraction form
    9,443.64/14,221.69 = 8,225.76/x
  3. Step 3: Cross multiply
    9,443.64x = 14,221.69 × 8,225.76
  4. Step 4: Simplify right side
    9,443.64x = 116,984,241.50
  5. Step 5: Solve for x
    x = 116,984,241.50/9,443.64
  6. Step 6: Final answer
    x = 12,387.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.