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Finding the Fourth Proportional to 9,323.24, 12,862.92 and 6,333.87

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Solution

The fourth proportional to 9,323.24, 12,862.92 and 6,333.87 is: 8,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.24 : 12,862.92 = 6,333.87 : x
  2. Step 2: Convert to fraction form
    9,323.24/12,862.92 = 6,333.87/x
  3. Step 3: Cross multiply
    9,323.24x = 12,862.92 × 6,333.87
  4. Step 4: Simplify right side
    9,323.24x = 81,472,063.10
  5. Step 5: Solve for x
    x = 81,472,063.10/9,323.24
  6. Step 6: Final answer
    x = 8,738.60

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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.