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Finding the Fourth Proportional to 7,090.96, 9,785.92 and 3,947.36

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Solution

The fourth proportional to 7,090.96, 9,785.92 and 3,947.36 is: 5,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.96 : 9,785.92 = 3,947.36 : x
  2. Step 2: Convert to fraction form
    7,090.96/9,785.92 = 3,947.36/x
  3. Step 3: Cross multiply
    7,090.96x = 9,785.92 × 3,947.36
  4. Step 4: Simplify right side
    7,090.96x = 38,628,549.17
  5. Step 5: Solve for x
    x = 38,628,549.17/7,090.96
  6. Step 6: Final answer
    x = 5,447.58

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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.