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Finding the Fourth Proportional to 9,659.41, 14,489.12 and 5,274.47

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Solution

The fourth proportional to 9,659.41, 14,489.12 and 5,274.47 is: 7,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.41 : 14,489.12 = 5,274.47 : x
  2. Step 2: Convert to fraction form
    9,659.41/14,489.12 = 5,274.47/x
  3. Step 3: Cross multiply
    9,659.41x = 14,489.12 × 5,274.47
  4. Step 4: Simplify right side
    9,659.41x = 76,422,478.18
  5. Step 5: Solve for x
    x = 76,422,478.18/9,659.41
  6. Step 6: Final answer
    x = 7,911.71

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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.