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Finding the Fourth Proportional to 7,003.67, 9,664.83 and 3,816.81

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Solution

The fourth proportional to 7,003.67, 9,664.83 and 3,816.81 is: 5,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.67 : 9,664.83 = 3,816.81 : x
  2. Step 2: Convert to fraction form
    7,003.67/9,664.83 = 3,816.81/x
  3. Step 3: Cross multiply
    7,003.67x = 9,664.83 × 3,816.81
  4. Step 4: Simplify right side
    7,003.67x = 36,888,819.79
  5. Step 5: Solve for x
    x = 36,888,819.79/7,003.67
  6. Step 6: Final answer
    x = 5,267.07

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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.