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Finding the Fourth Proportional to 7,057.44, 9,739.40 and 3,913.61

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Solution

The fourth proportional to 7,057.44, 9,739.40 and 3,913.61 is: 5,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.44 : 9,739.40 = 3,913.61 : x
  2. Step 2: Convert to fraction form
    7,057.44/9,739.40 = 3,913.61/x
  3. Step 3: Cross multiply
    7,057.44x = 9,739.40 × 3,913.61
  4. Step 4: Simplify right side
    7,057.44x = 38,116,144.97
  5. Step 5: Solve for x
    x = 38,116,144.97/7,057.44
  6. Step 6: Final answer
    x = 5,400.85

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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.