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Finding the Fourth Proportional to 9,321.78, 12,865.91 and 5,288.69

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Solution

The fourth proportional to 9,321.78, 12,865.91 and 5,288.69 is: 7,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.78 : 12,865.91 = 5,288.69 : x
  2. Step 2: Convert to fraction form
    9,321.78/12,865.91 = 5,288.69/x
  3. Step 3: Cross multiply
    9,321.78x = 12,865.91 × 5,288.69
  4. Step 4: Simplify right side
    9,321.78x = 68,043,742.91
  5. Step 5: Solve for x
    x = 68,043,742.91/9,321.78
  6. Step 6: Final answer
    x = 7,299.44

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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.