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Finding the Fourth Proportional to 9,086.59, 13,628.51 and 5,822.49

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Solution

The fourth proportional to 9,086.59, 13,628.51 and 5,822.49 is: 8,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.59 : 13,628.51 = 5,822.49 : x
  2. Step 2: Convert to fraction form
    9,086.59/13,628.51 = 5,822.49/x
  3. Step 3: Cross multiply
    9,086.59x = 13,628.51 × 5,822.49
  4. Step 4: Simplify right side
    9,086.59x = 79,351,885.06
  5. Step 5: Solve for x
    x = 79,351,885.06/9,086.59
  6. Step 6: Final answer
    x = 8,732.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.