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Finding the Fourth Proportional to 7,040.44, 9,716.30 and 3,896.76

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Solution

The fourth proportional to 7,040.44, 9,716.30 and 3,896.76 is: 5,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.44 : 9,716.30 = 3,896.76 : x
  2. Step 2: Convert to fraction form
    7,040.44/9,716.30 = 3,896.76/x
  3. Step 3: Cross multiply
    7,040.44x = 9,716.30 × 3,896.76
  4. Step 4: Simplify right side
    7,040.44x = 37,862,089.19
  5. Step 5: Solve for x
    x = 37,862,089.19/7,040.44
  6. Step 6: Final answer
    x = 5,377.80

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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.