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Finding the Fourth Proportional to 9,665.40, 13,344.68 and 7,423.27

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Solution

The fourth proportional to 9,665.40, 13,344.68 and 7,423.27 is: 10,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.40 : 13,344.68 = 7,423.27 : x
  2. Step 2: Convert to fraction form
    9,665.40/13,344.68 = 7,423.27/x
  3. Step 3: Cross multiply
    9,665.40x = 13,344.68 × 7,423.27
  4. Step 4: Simplify right side
    9,665.40x = 99,061,106.14
  5. Step 5: Solve for x
    x = 99,061,106.14/9,665.40
  6. Step 6: Final answer
    x = 10,249.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.