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Finding the Fourth Proportional to 7,040.96, 9,716.49 and 3,897.14

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Solution

The fourth proportional to 7,040.96, 9,716.49 and 3,897.14 is: 5,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.96 : 9,716.49 = 3,897.14 : x
  2. Step 2: Convert to fraction form
    7,040.96/9,716.49 = 3,897.14/x
  3. Step 3: Cross multiply
    7,040.96x = 9,716.49 × 3,897.14
  4. Step 4: Simplify right side
    7,040.96x = 37,866,521.84
  5. Step 5: Solve for x
    x = 37,866,521.84/7,040.96
  6. Step 6: Final answer
    x = 5,378.03

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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.