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Finding the Fourth Proportional to 9,496.74, 14,251.22 and 5,117.24

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Solution

The fourth proportional to 9,496.74, 14,251.22 and 5,117.24 is: 7,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.74 : 14,251.22 = 5,117.24 : x
  2. Step 2: Convert to fraction form
    9,496.74/14,251.22 = 5,117.24/x
  3. Step 3: Cross multiply
    9,496.74x = 14,251.22 × 5,117.24
  4. Step 4: Simplify right side
    9,496.74x = 72,926,913.03
  5. Step 5: Solve for x
    x = 72,926,913.03/9,496.74
  6. Step 6: Final answer
    x = 7,679.15

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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.