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Finding the Fourth Proportional to 7,057.12, 9,739.04 and 4,261

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Solution

The fourth proportional to 7,057.12, 9,739.04 and 4,261 is: 5,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.12 : 9,739.04 = 4,261 : x
  2. Step 2: Convert to fraction form
    7,057.12/9,739.04 = 4,261/x
  3. Step 3: Cross multiply
    7,057.12x = 9,739.04 × 4,261
  4. Step 4: Simplify right side
    7,057.12x = 41,498,049.44
  5. Step 5: Solve for x
    x = 41,498,049.44/7,057.12
  6. Step 6: Final answer
    x = 5,880.31

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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.