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Finding the Fourth Proportional to 9,286.71, 12,825.30 and 7,139.80

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Solution

The fourth proportional to 9,286.71, 12,825.30 and 7,139.80 is: 9,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.71 : 12,825.30 = 7,139.80 : x
  2. Step 2: Convert to fraction form
    9,286.71/12,825.30 = 7,139.80/x
  3. Step 3: Cross multiply
    9,286.71x = 12,825.30 × 7,139.80
  4. Step 4: Simplify right side
    9,286.71x = 91,570,076.94
  5. Step 5: Solve for x
    x = 91,570,076.94/9,286.71
  6. Step 6: Final answer
    x = 9,860.34

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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.