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Finding the Fourth Proportional to 7,043.81, 9,720.60 and 3,857.24

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Solution

The fourth proportional to 7,043.81, 9,720.60 and 3,857.24 is: 5,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.81 : 9,720.60 = 3,857.24 : x
  2. Step 2: Convert to fraction form
    7,043.81/9,720.60 = 3,857.24/x
  3. Step 3: Cross multiply
    7,043.81x = 9,720.60 × 3,857.24
  4. Step 4: Simplify right side
    7,043.81x = 37,494,638.54
  5. Step 5: Solve for x
    x = 37,494,638.54/7,043.81
  6. Step 6: Final answer
    x = 5,323.07

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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.