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Finding the Fourth Proportional to 9,601.86, 14,399.68 and 3,678.44

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Solution

The fourth proportional to 9,601.86, 14,399.68 and 3,678.44 is: 5,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.86 : 14,399.68 = 3,678.44 : x
  2. Step 2: Convert to fraction form
    9,601.86/14,399.68 = 3,678.44/x
  3. Step 3: Cross multiply
    9,601.86x = 14,399.68 × 3,678.44
  4. Step 4: Simplify right side
    9,601.86x = 52,968,358.90
  5. Step 5: Solve for x
    x = 52,968,358.90/9,601.86
  6. Step 6: Final answer
    x = 5,516.47

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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.