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Finding the Fourth Proportional to 9,265.89, 12,788.16 and 5,286.09

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Solution

The fourth proportional to 9,265.89, 12,788.16 and 5,286.09 is: 7,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.89 : 12,788.16 = 5,286.09 : x
  2. Step 2: Convert to fraction form
    9,265.89/12,788.16 = 5,286.09/x
  3. Step 3: Cross multiply
    9,265.89x = 12,788.16 × 5,286.09
  4. Step 4: Simplify right side
    9,265.89x = 67,599,364.69
  5. Step 5: Solve for x
    x = 67,599,364.69/9,265.89
  6. Step 6: Final answer
    x = 7,295.51

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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.