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Finding the Fourth Proportional to 7,090.97, 9,785.54 and 3,947.90

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Solution

The fourth proportional to 7,090.97, 9,785.54 and 3,947.90 is: 5,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.97 : 9,785.54 = 3,947.90 : x
  2. Step 2: Convert to fraction form
    7,090.97/9,785.54 = 3,947.90/x
  3. Step 3: Cross multiply
    7,090.97x = 9,785.54 × 3,947.90
  4. Step 4: Simplify right side
    7,090.97x = 38,632,352.89
  5. Step 5: Solve for x
    x = 38,632,352.89/7,090.97
  6. Step 6: Final answer
    x = 5,448.10

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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.