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Finding the Fourth Proportional to 9,226.37, 13,831.04 and 3,678.38

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Solution

The fourth proportional to 9,226.37, 13,831.04 and 3,678.38 is: 5,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.37 : 13,831.04 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    9,226.37/13,831.04 = 3,678.38/x
  3. Step 3: Cross multiply
    9,226.37x = 13,831.04 × 3,678.38
  4. Step 4: Simplify right side
    9,226.37x = 50,875,760.96
  5. Step 5: Solve for x
    x = 50,875,760.96/9,226.37
  6. Step 6: Final answer
    x = 5,514.17

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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.