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Finding the Fourth Proportional to 9,673.05, 13,348.62 and 6,309.48

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Solution

The fourth proportional to 9,673.05, 13,348.62 and 6,309.48 is: 8,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.05 : 13,348.62 = 6,309.48 : x
  2. Step 2: Convert to fraction form
    9,673.05/13,348.62 = 6,309.48/x
  3. Step 3: Cross multiply
    9,673.05x = 13,348.62 × 6,309.48
  4. Step 4: Simplify right side
    9,673.05x = 84,222,850.92
  5. Step 5: Solve for x
    x = 84,222,850.92/9,673.05
  6. Step 6: Final answer
    x = 8,706.96

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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.