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Finding the Fourth Proportional to 9,344.29, 14,008.02 and 3,416.97

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Solution

The fourth proportional to 9,344.29, 14,008.02 and 3,416.97 is: 5,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.29 : 14,008.02 = 3,416.97 : x
  2. Step 2: Convert to fraction form
    9,344.29/14,008.02 = 3,416.97/x
  3. Step 3: Cross multiply
    9,344.29x = 14,008.02 × 3,416.97
  4. Step 4: Simplify right side
    9,344.29x = 47,864,984.10
  5. Step 5: Solve for x
    x = 47,864,984.10/9,344.29
  6. Step 6: Final answer
    x = 5,122.38

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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.