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Finding the Fourth Proportional to 9,651.33, 13,318.81 and 5,674.73

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Solution

The fourth proportional to 9,651.33, 13,318.81 and 5,674.73 is: 7,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.33 : 13,318.81 = 5,674.73 : x
  2. Step 2: Convert to fraction form
    9,651.33/13,318.81 = 5,674.73/x
  3. Step 3: Cross multiply
    9,651.33x = 13,318.81 × 5,674.73
  4. Step 4: Simplify right side
    9,651.33x = 75,580,569.89
  5. Step 5: Solve for x
    x = 75,580,569.89/9,651.33
  6. Step 6: Final answer
    x = 7,831.10

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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.