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Finding the Fourth Proportional to 9,665.92, 13,345.39 and 7,423.78

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Solution

The fourth proportional to 9,665.92, 13,345.39 and 7,423.78 is: 10,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.92 : 13,345.39 = 7,423.78 : x
  2. Step 2: Convert to fraction form
    9,665.92/13,345.39 = 7,423.78/x
  3. Step 3: Cross multiply
    9,665.92x = 13,345.39 × 7,423.78
  4. Step 4: Simplify right side
    9,665.92x = 99,073,202.26
  5. Step 5: Solve for x
    x = 99,073,202.26/9,665.92
  6. Step 6: Final answer
    x = 10,249.75

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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.