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Finding the Fourth Proportional to 9,864.57, 13,608.05 and 6,677.97

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Solution

The fourth proportional to 9,864.57, 13,608.05 and 6,677.97 is: 9,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.57 : 13,608.05 = 6,677.97 : x
  2. Step 2: Convert to fraction form
    9,864.57/13,608.05 = 6,677.97/x
  3. Step 3: Cross multiply
    9,864.57x = 13,608.05 × 6,677.97
  4. Step 4: Simplify right side
    9,864.57x = 90,874,116.27
  5. Step 5: Solve for x
    x = 90,874,116.27/9,864.57
  6. Step 6: Final answer
    x = 9,212.17

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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.