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Finding the Fourth Proportional to 7,003.25, 9,664.36 and 3,816.57

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Solution

The fourth proportional to 7,003.25, 9,664.36 and 3,816.57 is: 5,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.25 : 9,664.36 = 3,816.57 : x
  2. Step 2: Convert to fraction form
    7,003.25/9,664.36 = 3,816.57/x
  3. Step 3: Cross multiply
    7,003.25x = 9,664.36 × 3,816.57
  4. Step 4: Simplify right side
    7,003.25x = 36,884,706.45
  5. Step 5: Solve for x
    x = 36,884,706.45/7,003.25
  6. Step 6: Final answer
    x = 5,266.80

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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.