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Finding the Fourth Proportional to 9,683.17, 13,361.94 and 5,433.65

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Solution

The fourth proportional to 9,683.17, 13,361.94 and 5,433.65 is: 7,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.17 : 13,361.94 = 5,433.65 : x
  2. Step 2: Convert to fraction form
    9,683.17/13,361.94 = 5,433.65/x
  3. Step 3: Cross multiply
    9,683.17x = 13,361.94 × 5,433.65
  4. Step 4: Simplify right side
    9,683.17x = 72,604,105.28
  5. Step 5: Solve for x
    x = 72,604,105.28/9,683.17
  6. Step 6: Final answer
    x = 7,497.97

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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.