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Finding the Fourth Proportional to 9,678.25, 14,489.83 and 6,381.28

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Solution

The fourth proportional to 9,678.25, 14,489.83 and 6,381.28 is: 9,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.25 : 14,489.83 = 6,381.28 : x
  2. Step 2: Convert to fraction form
    9,678.25/14,489.83 = 6,381.28/x
  3. Step 3: Cross multiply
    9,678.25x = 14,489.83 × 6,381.28
  4. Step 4: Simplify right side
    9,678.25x = 92,463,662.38
  5. Step 5: Solve for x
    x = 92,463,662.38/9,678.25
  6. Step 6: Final answer
    x = 9,553.76

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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.