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Finding the Fourth Proportional to 9,321.38, 12,868.98 and 5,786.54

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Solution

The fourth proportional to 9,321.38, 12,868.98 and 5,786.54 is: 7,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.38 : 12,868.98 = 5,786.54 : x
  2. Step 2: Convert to fraction form
    9,321.38/12,868.98 = 5,786.54/x
  3. Step 3: Cross multiply
    9,321.38x = 12,868.98 × 5,786.54
  4. Step 4: Simplify right side
    9,321.38x = 74,466,867.53
  5. Step 5: Solve for x
    x = 74,466,867.53/9,321.38
  6. Step 6: Final answer
    x = 7,988.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.