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Finding the Fourth Proportional to 7,090.36, 9,785.30 and 3,947.16

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Solution

The fourth proportional to 7,090.36, 9,785.30 and 3,947.16 is: 5,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.36 : 9,785.30 = 3,947.16 : x
  2. Step 2: Convert to fraction form
    7,090.36/9,785.30 = 3,947.16/x
  3. Step 3: Cross multiply
    7,090.36x = 9,785.30 × 3,947.16
  4. Step 4: Simplify right side
    7,090.36x = 38,624,144.75
  5. Step 5: Solve for x
    x = 38,624,144.75/7,090.36
  6. Step 6: Final answer
    x = 5,447.42

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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.